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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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