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Results tagged with ct.category-theory
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user 4213
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
7
votes
3
votes
Accepted
Finite categories and partial orders
Almost, this has nothing to do with finiteness: any category where the
homsets have at most one element each is a preorder. Define
$a\le b$ if there is an arrow from $a$ to $b$. Then $\le$ is reflexiv …
- 20.8k
7
votes
2
answers
2k
views
Describing global sections of sheafifications
Recently on glancing through Hartshorne's description
of Cartier divisors I started pondering the definition of
sheafification which led me to a question I can't answer. Neither
can I find a discussio …
- 20.8k
1
vote
Can all induced maps be described categorically.?. (or at least as generally as possible)
The key word in this context is functor. The point is that homology, homotopy
etc. are functors. For example consider homology $H_n$. This is a functor
from the category of topological spaces to the c …
- 20.8k
7
votes
why haven't certain well-researched classes of mathematical object been framed by category t...
Paul Taylor's "Abstract Stone Duality"
http://www.paultaylor.eu/ASD/
is an attempt to recast elementary real analysis (including sequences)
involving categorical ideas.
- 20.8k
17
votes
Accepted
What is an antiequivalence of two categories?
All it means that one of the categories is equivalent to the opposite of the other.
Wikipedia has informative pages on opposites of categories and equivalences
of categories:
http://en.wikipedia.org …
- 20.8k