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Results tagged with accessible-categories
Search options questions only
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user 24563
4
votes
1
answer
180
views
Almost combinatorial accessible model categories
Theorem: Assume VP. Let $\mathcal{M}$ be an accessible model category
such that there exists a set of generating cofibrations $I$ and such
that all objects are fibrant. Then it is combinatorial.
Pro …
- 3,901
4
votes
1
answer
204
views
About small-orthogonality classes of a locally presentable category
Let $\mathcal{A} \subset \mathcal{K}$ be two locally presentable
categories. $\mathcal{A}$ reflective and closed under filtered
colimits. Then $\mathcal{A}$ is a small-orthogonality class. Let
…
- 3,901
4
votes
3
answers
405
views
About the Yoneda objects of a locally presentable category
This question is a follow-up of Extending functors defined on dense subcategories.
Let $\mathcal{K}$ be a locally presentable category. An object $X$ of
$\mathcal{K}$ is called a Yoneda object i …
- 3,901
5
votes
1
answer
107
views
About small $\omega$-orthogonality classes and Gabriel-Ulmer duality
I am reading the paper http://www.numdam.org/article/CTGDC_2001__42_1_51_0.pdf fixing the implication $(ii)\Rightarrow (i)$ of Theorem 1.39 of Adamek-Rosicky's book. The correct statement is: if $\mat …
- 3,901
3
votes
2
answers
225
views
Bousfield localization of a left proper accessible model category
What is known about the Bousfield localization of a left proper accessible model category by a set of maps ? (I mean not combinatorial which is already known)
- 3,901
15
votes
2
answers
359
views
Example of non accessible model categories
By curiosity, I would like to see an example of a model category with the underlying category locally presentable which is not accessible in this sense (and just in case: even by using Vopěnka's princ …
- 3,901