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2
votes
cardinality of final coalgebras in Top
I don't know, but one could begin to investigate your first question by considering polynomials of the form ax + k, where a is a natural number greater than 1. Maybe you already know that the answer …
7
votes
What is the size of the category of finite dimensional F_q vector spaces?
(Edit: the following should be a comment following Philipp's "Reid, what does that mean?", not an Answer. Can't see how to change it now, though. Further edit: I've appended a guess at an answer.)
…
11
votes
What's the cell structure of K(Z/nZ, 1)? Does it let me sum this divergent series? What ab...
The answer to something like question 4 is "yes". It not only has an analytic continuation to $-1$, it has a unique such. In fact, it's a rational function. Something similar is true not only for f …
3
votes
Is there a topological description of combinatorial Euler characteristic?
The precise statement of "nice" in Hadwiger's Theorem is "expressible as a finite union of compact convex sets". In their book Introduction to Geometric Probability, Klain and Rota use "polyconvex" f …