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Results tagged with ct.category-theory
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user 102
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
4
votes
Accepted
F is ultrafilter over a Boolean algebra implies that for every b, either b or not-b is in F?
Assume you have a proper filter $F$ that avoids both $b$ and $\neg b$. Then, you could consider the filter generated by $F\cup\{b\}$ - which is to say the smallest filter $F'$ containing $F$ and $b$. …
- 2,537
7
votes
Learning to Think Categorically
First, WHY do you want to learn categories?
Not that I don't think it's a good idea - only your approach vector will influence, strongly, what a good approach will consist of. I approached categories …
11
votes
Terminology in category theory
As for the limit example, it is rooted in analysis by way of topology.
A topology on some set X is a system of subsets, partially ordered by inclusion, that have arbitrary joins and finite meets (or …
- 2,537
15
votes
Programming Languages Based on Category Theory
There's Charity.
1
vote
`Topos' with alternate subobject lattice?
Probably not the complete picture, but my impression was that one of the reasons that Heyting lattices play such a large role with topoi is that the Heyting lattice definition captures the properties …
- 2,537