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Results tagged with ct.category-theory
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user 7206
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
16
votes
Sheaf-theoretic approach to forcing
I can't really answer your question, since they are outside my field of expertise. But until Mike and others come to answer, let me make a long comment about the following sentence:
Note that in usua …
- 39.9k
12
votes
4
answers
2k
views
On the large cardinals foundations of categories
(This question was posted on math.SE over two weeks ago, but received no answer. I am therefore posting it here as well.)
It is well-known that there are difficulties in developing basic category the …
- 39.9k
11
votes
Accepted
NBG, ZFC+I, and Global Choice
Care is needed here.
It is true that $\sf ZFC+I$ implies the consistency of $\sf NBG$. And it is true that $\sf ZFC+I$ does not prove Global Choice.
However, when we talk about consistency statements, …
- 39.9k
8
votes
Non smallness of the set of anafunctors without AC?
This is a supplementing answer to aws' answer. In this answer I sketch the a class-symmetric extension in which there is a proper class of Russell sets, and there is no set of Russell cardinals.
(Rec …
- 39.9k
3
votes
Usage of set theory in undergraduate studies
My comments to the main question seemed like they merit a full answer.
If we are talking about introductory level courses then the approach should be naive. It is often all the set theory needed from …