https://ou-liu-red-sugar.github.io/wiki/Recent content in Wiki on Ou LiuHugo -- 0.146.0en-usSat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/compactly-assembled-category/Sat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/compactly-assembled-category/A presentable category that is a retract in Pr^L of a compactly generated one. In the stable setting, equivalent to being dualizable in Pr^L_st.https://ou-liu-red-sugar.github.io/wiki/compactly-generated-category/Sat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/compactly-generated-category/A presentable category that is generated under filtered colimits by its compact (i.e. ℵ₀-compact) objects. Equivalently, the Ind-completion of a small idempotent-complete category with finite colimits.https://ou-liu-red-sugar.github.io/wiki/conventions/Sat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/conventions/House conventions for this wiki — what 'category', 'n-category', and 'classical category' mean here, and the suggested entry structure.https://ou-liu-red-sugar.github.io/wiki/presentable-category/Sat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/presentable-category/An (∞,1)-category that admits all small colimits and is generated under colimits by an essentially small set of κ-compact objects for some regular cardinal κ.https://ou-liu-red-sugar.github.io/wiki/stable-category/Sat, 25 Apr 2026 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/stable-category/A category in which the suspension functor is an equivalence and finite limits coincide with finite colimits — the natural replacement for triangulated categories.https://ou-liu-red-sugar.github.io/wiki/graph/Mon, 01 Jan 0001 00:00:00 +0000https://ou-liu-red-sugar.github.io/wiki/graph/A force-directed graph of all wiki entries and their cross-references.