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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
4
votes
What's an example of a subcategory whose closure under colimits takes a lot of steps to form...
I wish I could give a reference but in 1965 John Isbell claimed that the limit completion of the 2 element group (considered as a one object category) requires a proper class of steps, but I didn't un …
4
votes
Are there non-trivial infinite chains of adjoint functors?
My paper Non-symmetric $*$-autonomous categories. Theoretical
Computer Science, {\bf139} (1995), 115-130, might be thought of as a generalization of Lambek's to Chu categories. It certainly leads to …
5
votes
0
answers
151
views
Sup preserving maps between distributive lattices
I have been looking at categories of sup semilattices and sup preserving maps. If $A$ and $B$ are two such, the set I denote $[A,B]$ is sup preserving homomorphisms between is also a sup semilattice …
7
votes
1
answer
840
views
Hahn-Banach theorem for arbitrary locally compact fields?
Does anyone know if the Hahn-Banach theorem is true for every locally
compact field? Specifically, let $F$ be a finite algebraic extension of
either $Q_p$, the $p$-adic completion of $Q$, or of
$S_p$ …