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8
votes
What was Burroni's sketch for topological spaces?
The category of topological spaces is the category of models of a relational universal strict Horn theory $T$ without equality, i.e. the axioms are of the form $(\forall x)(\phi(x) \rightarrow \psi(x) …
5
votes
1
answer
87
views
Characterization of right properness using slice categories
I would like to know how to cite this theorem (which has a quite surprising consequence):
A model category $\mathcal{M}$ is right proper if and only if for any
weak equivalence $f:A\to B$, the Q …
3
votes
What's a good introduction to category theory for someone doing analysis?
I could suggest Tom Leinster's book: "Basic Category Theory", Cambridge studies in advanced mathematics 143. It is a modern introduction to category theory which covers the basic topics of the subject …
3
votes
1
answer
711
views
Systems of equations in Boolean Algebra
I have to study systems of equations in a Boolean algebra, the matrix is $m\times n$ with $m\neq n$. The Boolean algebra is actually the simplest one, it contains only $0$ and $1$, let us denote it by …
2
votes
0
answers
141
views
Metrizable cellular topological spaces
For a CW-complex, locally compact, metrizable, first countable and locally finite are equivalent conditions. A proof is available in https://epub.ub.uni-muenchen.de/4524/1/4524.pdf. I need the same re …