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https://mathoverflow.net/questions/507867/locally-locally-finite-multigraph ct.category theory - "Locally locally finite" multigraph? - MathOverflow I'm looking for a name for a property: say that a multigraph $(V, E)$ is xyzzy if the subgraph induced by any pair of vertices is finite. So, only finitely... ct category theorylocallyfinitemathoverflow https://mathoverflow.net/questions/509887/does-the-category-of-manifolds-mathbfman-have-reflexive-coequalizers ct.category theory - Does the category of manifolds $\mathbf{Man}$ have reflexive coequalizers? -... A reflexive coequalizer is a special type of coequalizer which often exists even when general coequalizers might not exist. I wonder if the category of smooth... ct category theorymanifoldsreflexive https://mathoverflow.net/questions/tagged/ct.category-theory?tab=newest&page=3&pagesize=15 Newest 'ct.category-theory' Questions - Page 3 - MathOverflow newest ct categorytheory questions3 mathoverflow https://mathoverflow.net/questions/2150/exactness-of-filtered-colimits ct.category theory - Exactness of filtered colimits - MathOverflow Are filtered colimits exact in all abelian categories? In Set, filtered colimits commute with finite limits. The proof carries over to categories sufficiently... ct category theoryfiltered colimitsmathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=newest&page=4&pagesize=15 Newest 'ct.category-theory' Questions - Page 4 - MathOverflow newest ct categorytheory questions4 mathoverflow https://mathoverflow.net/questions/510202/the-right-adjoint-of-mathrmmod-mathrmend-c1v-to-c-for-c-in-mathr ct.category theory - The right adjoint of $\mathrm{Mod}_{\mathrm{End}_C(1)}(V)\to C$ for $C\in... ct category theory1 vrightadjointmathrm https://mathoverflow.net/questions/510219/morleyization-versus-double-negation ct.category theory - Morleyization versus double negation - MathOverflow Let $L$ be a finitary relational language. The Morleyization of $L$ is the extended language $L'$ which has one atomic formula for every first-order formula of... ct category theoryversusdoublenegationmathoverflow https://mathoverflow.net/tags/ct.category-theory/info 'ct.category-theory' tag wiki - MathOverflow ct category theorytag wiki mathoverflow https://mathoverflow.net/search?page=4&tab=Relevance&pagesize=15&q=user%3a148161%20%5bct.category-theory%5d%20is%3aquestion&searchOn=3 Questions matching 'user:148161 [ct.category-theory] is:question' - MathOverflow ct category theorymatching userquestionsmathoverflow https://mathoverflow.net/questions/474767/universal-property-of-category-of-categories ct.category theory - Universal property of category of categories - MathOverflow As discussed here, Using the universal property of spaces, the $(\infty,1)$-category of spaces has a universal property: it is the free $\infty$-categorical... ct category theoryuniversalpropertycategoriesmathoverflow https://mathoverflow.net/search?q=user:2926%20[ct.category-theory]%20is:answer Answers matching 'user:2926 [ct.category-theory] is:answer' - MathOverflow answers matching userct category theory2926mathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Trending Trending 'ct.category-theory' questions - MathOverflow ct category theoryquestions mathoverflowtrending https://mathoverflow.net/questions/510304/are-the-chaitin-style-incompleteness-theorems-a-consequence-of-lawveres-fixed-p ct.category theory - Are the Chaitin-style incompleteness theorems a consequence of Lawvere's Fixed... Lawvere's famous fixed point theorem shows that in any Cartesian-closed category with objects $X,Y$, if there is a weakly point-surjective morphism $f:X\to... ct category theorychaitinstyleincompletenesstheorems https://mathoverflow.net/questions/510329/about-colimit-preserving-approximation-of-functors-from-precubical-sets-to-a-coc ct.category theory - About colimit-preserving approximation of functors from precubical sets to a... Let $\square^{\text{op}}\mathbf{Set}$ denote the category of precubical sets (only cubical face maps, no degeneracies), and let $F \colon... ct category theorycolimitpreservingapproximationfunctors https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Bounties Bountied 'ct.category-theory' questions - MathOverflow ct category theoryquestions mathoverflowbountied https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Active Recently Active 'ct.category-theory' Questions - MathOverflow active ct categorytheory questions mathoverflowrecently https://mathoverflow.net/questions/510240/terminology-categories-where-finite-products-commute-with-filtered-colimits ct.category theory - Terminology: categories where finite products commute with filtered colimits -... Is there a name for categories $\mathcal{C}$ with finite products and filtered colimits such that each functor $X \times - : \mathcal{C} \to \mathcal{C}$ for... ct category theoryfiltered colimitsterminologycategoriesfinite https://mathoverflow.net/questions/19116/colimits-in-the-category-of-smooth-manifolds?noredirect=1 ct.category theory - Colimits in the category of smooth manifolds - MathOverflow In the category of smooth real manifolds, do all small colimits exist? In other words, is this category small-cocomplete? I can see that computing push-outs in... ct category theorycolimitssmoothmanifoldsmathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Month Most active 'ct.category-theory' questions - MathOverflow active ct categorytheory questions mathoverflow https://mathoverflow.net/questions/508898/category-theoretic-foundations-of-analysis ct.category theory - Category-theoretic foundations of analysis - MathOverflow I want to know if there is a solid, category-theoretic foundation underlining the study of analysis and what has been done in this direction over the past... ct category theorytheoreticfoundationsanalysismathoverflow https://mathoverflow.net/questions/508534/associativity-of-the-baer-sum ct.category theory - Associativity of the Baer sum - MathOverflow I am trying to solve Exercise 2.1.7 from "Categories and Modules, with K-theory in View" by A.J. Berrick and M.E. Keating in which we construct the group... ct category theorybaersummathoverflow https://mathoverflow.net/questions/361684/why-do-elementary-topoi-have-pullbacks ct.category theory - Why do elementary topoi have pullbacks? - MathOverflow In the book of Szabo ct category theoryelementarypullbacksmathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Unanswered Unanswered 'ct.category-theory' Questions - MathOverflow ct category theoryquestions mathoverflowunanswered https://mathoverflow.net/questions/tagged/ct.category-theory Newest 'ct.category-theory' Questions - MathOverflow newest ct categorytheory questions mathoverflow https://mathoverflow.net/questions/474287/intuition-for-the-internal-logic-of-a-cotopos ct.category theory - Intuition for the "internal logic" of a cotopos - MathOverflow Let $\mathcal{E}$ be an elementary topos. By definition, $\mathcal{E}$ is a category that has finite limits, is Cartesian closed, and has a subobject... ct category theoryintuitioninternallogicmathoverflow https://mathoverflow.net/questions/479191/box-tensor-product-in-the-correspondence-category ct.category theory - Box tensor product in the correspondence category - MathOverflow I am currently reading Peter Scholze's note on six-functors formalism, where for an infinity category $C$ and a nice class of morphism $E$ in $C$, we can... ct category theoryboxtensorproductcorrespondence https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Bounties&days=7 Bountied 'ct.category-theory' questions - MathOverflow ct category theoryquestions mathoverflowbountied https://mathoverflow.net/questions/tagged/ct.category-theory?tab=active&page=3&pagesize=15 Recently Active 'ct.category-theory' Questions - Page 3 - MathOverflow active ct categorytheory questions3 mathoverflowrecently https://mathoverflow.net/questions/462785/are-flat-functors-out-of-a-finite-category-necessarily-finite ct.category theory - Are flat functors out of a finite category necessarily finite? - MathOverflow Note: I've originally asked this question on math stack exchange, but I have learnt that this is the better place to ask for research level questions, so I... ct category theoryflatfunctorsfinitenecessarily https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Week Most active 'ct.category-theory' questions - MathOverflow active ct categorytheory questions mathoverflow https://mathoverflow.net/questions/510583/natural-transformation-between-endo-functors-of-the-category-of-modules ct.category theory - Natural transformation between endo-functors of the category of modules -... Let us fix a group $G$. We consider the group ring $A=\mathbf{Z}[G\times G^{op}]$, where $G^{op}$ is the opposite group. There is an automorphism of rings... ct category theorynaturaltransformationendofunctors https://mathoverflow.net/questions/509666/do-k-well-generated-categories-exist-for-any-regular-k ct.category theory - Do K-well generated categories exist for any regular K? - MathOverflow A. Neeman has defined K-well generated triangulated categories for any infinite regular cardinal K; in the case $K=\aleph_0$ these are the compactly generated... ct category theorykwellgeneratedcategories https://mathoverflow.net/questions/508536/coste-s-1985-manuscript-la-d%c3%a9monstration-de-diaconescu-du-th%c3%a9or%c3%a8me-de-barr ct.category theory - Coste’s 1985 manuscript “La démonstration de Diaconescu du théorème de Barr”?... An unpublished manuscript of Coste is cited in a couple of papers of Peter Johnstone, for some observations on what we now know as the Diaconescu cover. The... ct category theory1985manuscriptdediaconescu https://mathoverflow.net/questions/tagged/ct.category-theory?tab=newest&page=5&pagesize=15 Newest 'ct.category-theory' Questions - Page 5 - MathOverflow newest ct categorytheory questions5 mathoverflow https://mathoverflow.net/questions/510431/an-epimorphism-of-monoids-does-not-increase-cardinalities ct.category theory - An epimorphism of monoids does not increase cardinalities? - MathOverflow Let $f : M \to N$ be an epimorphism in the category of monoids (which is not necessarily surjective). I would like to prove that when $M$ is countable, then... ct category theorymonoidsincreasemathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=newest&pagesize=50 Newest 'ct.category-theory' Questions - MathOverflow newest ct categorytheory questions mathoverflow https://mathoverflow.net/tags/ct.category-theory/topusers 'ct.category-theory' Top Users - MathOverflow ct category theorytop users mathoverflow https://mathoverflow.net/questions/tagged/ct.category-theory?tab=Newest Newest 'ct.category-theory' Questions - MathOverflow newest ct categorytheory questions mathoverflow https://mathoverflow.net/questions/510404/structure-of-weighted-colimits ct.category theory - Structure of weighted colimits - MathOverflow I'm going to implicitly use $\infty$-categories throughout. Let $F : \mathcal{I} \to \mathcal{T}$ and $W : \mathcal{I}^{\mathrm{op}} \to \mathcal{S}$ be... ct category theorycolimits mathoverflowstructureweighted https://mathoverflow.net/questions/492354/categorical-structure-guaranteed-to-exist-but-not-necessarily-preserved ct.category theory - Categorical structure guaranteed to exist, but not necessarily preserved -... Background I'm currently studying arithmetic universes (AUs), which are defined to be list-arithmetic pretoposes (see "Joyal's arithmetic universe as... ct category theorycategorical structurenecessarily preservedguaranteedexist https://mathoverflow.net/questions/tagged/ct.category-theory?tab=unanswered&page=2&pagesize=15 Unanswered 'ct.category-theory' Questions - Page 2 - MathOverflow ct category theory2 mathoverflowunansweredquestions https://mathoverflow.net/questions/tagged/ct.category-theory?tab=newest&pagesize=30 Newest 'ct.category-theory' Questions - MathOverflow newest ct categorytheory questions mathoverflow https://mathoverflow.net/questions/510316/does-the-category-of-metrizable-spaces-have-filtered-colimits ct.category theory - Does the category of metrizable spaces have filtered colimits? - MathOverflow Consider the category $\mathbf{Met}_c$ of metric spaces with continuous maps. Equivalently, it is the category of Hausdorff spaces that are metrizable.... ct category theoryfiltered colimitsspacesmathoverflow