<?xml version="1.0" encoding="utf-8" standalone="yes"?><urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9" xmlns:xhtml="http://www.w3.org/1999/xhtml"><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/continuous-k-theory/algebraic-k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/gestalten/presentable-categories/</loc><lastmod>2025-12-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/continuous-k-theory/compactly-assembled-categories/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/gestalten/presentable-n-categories/</loc><lastmod>2025-12-29T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/basic-concepts-on-higher-algebra/</loc><lastmod>2025-09-22T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/continuous-k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/continuous-k-theory/continuous-efimov-k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/gestalten/stefanich-rings/</loc><lastmod>2025-12-29T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/gestalten/everything-becomes-affine-under-sufficient-categorification/</loc><lastmod>2025-12-29T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/accessible/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/category-theory/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/compactly-assembled/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/compactly-assembled-category/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/compactly-generated/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/compactly-generated-category/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/conventions/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/conventions/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/dualizable/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/foundations/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/higher-categories/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/ind-completion/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/locally-presentable/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/presentable/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/presentable-category/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/spectrum/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/stable/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/stable-category/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/stable-homotopy-theory/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/triangulated/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/</loc><lastmod>2026-04-25T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/a-brief-introduction-to-6-functor-formalisms/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/algebraic-k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/calkin-category/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/compactly-assembled-categories/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/dualizable-categories/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/efimov-k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/gestalten/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/higher-algebra/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/higher-category-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/k-theory/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/localizing-invariants/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/mathematics/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/notes/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/poincar%C3%A9-duality/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/presentable-categories/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/six-functor-formalism/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/verdier-sequence/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/waldhausen-construction/</loc><lastmod>2026-04-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/allocation/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/lessons/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/reviews/2026-03/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/reviews/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/monthly-review/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/process/</loc><lastmod>2026-03-31T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/lesson/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/lessons/rotation-is-valid-magnitude-is-the-risk/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/lessons/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/log/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/reviews/2026-02/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/snapshot/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/log/2026-02-28-snapshot/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/structure/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/valuation/</loc><lastmod>2026-02-28T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/backfilled/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/behavior/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/lessons/index-investing-is-not-automatically-safe/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/january-2026/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/lessons/margin-of-safety-is-a-behavior/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/log/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/log/2026-01-30-backfilled/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/margin-of-safety/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/reviews/2026-01/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/playbook/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/invest/log/2026-01-30-snapshot/</loc><lastmod>2026-01-30T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/gestalten/</loc><lastmod>2025-12-29T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/presentable-category/</loc><lastmod>2025-12-29T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/barr--beck--lurie/</loc><lastmod>2025-12-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/descent/</loc><lastmod>2025-12-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/sheaf-cohomology/</loc><lastmod>2025-12-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/sheaf-cohomology-as-sheafification/</loc><lastmod>2025-12-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/synthetic-category-theory/</loc><lastmod>2025-12-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/synthetic-category-theory-and-type-theory/</loc><lastmod>2025-12-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/type-theory/</loc><lastmod>2025-12-24T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/adams-tower/</loc><lastmod>2025-11-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/stable-doldkan/</loc><lastmod>2025-11-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/notes/notes/stable-doldkan-and-descent/</loc><lastmod>2025-11-27T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/algebraic-pattern/</loc><lastmod>2025-09-22T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/monoidal-category/</loc><lastmod>2025-09-22T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/tags/operad/</loc><lastmod>2025-09-22T00:00:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/about/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/about/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/wiki/graph/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/categories/papers/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/papers/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url><url><loc>https://ou-liu-red-sugar.github.io/search/</loc><changefreq>weekly</changefreq><priority>0.5</priority></url></urlset>