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Results tagged with ct.category-theory
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user 38532
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
6
votes
1
answer
102
views
Condition for a functor to induce a cartesian closed functor between categories of presheaves
We denote the category of presheaves on a small category ${\cal C}$ (set-valued functor-category) by $$\widehat{\cal C}:=[{\cal C}^{op},{\bf Set}].$$
Such a category is cartesian closed, i.e. it ha …
- 567
3
votes
0
answers
198
views
Is the class of Heyting algebras originating from directed graphs a variety?
The category RefGph of reflexive directed graphs
is the functor category $\hat{∆}_1=\mbox{Fun}(∆^◦_1,$Set), where $∆_1$ is
the simplex category truncated at level 1.
Hence the poset Sub(X) of subob …
- 567
6
votes
2
answers
472
views
Heyting algebras originating from directed graphs
The category RefGph of reflexive directed graphs is the functor
category $\hat{∆}_1=\mbox{Fun}(∆^◦_1,$Set), where $∆_1$ is
the simplex category truncated at level 1.
Hence the poset Sub(X) of subob …
- 567