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Results tagged with at.algebraic-topology
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user 5587
Homotopy theory, homological algebra, algebraic treatments of manifolds.
12
votes
0
answers
467
views
What is the history of the notion of subdivision of categories?
A recent answer by Peter May prompts me to ask a question which I have been considering to ask for several months. (The reason why I have not asked it before is that it is not directly related to my r …
- 2,413
4
votes
Is there a topos theoretic interpretation/proof of Quillen's Theorem A?
I have no compelling answer to this question myself, but you may find relevant results and ideas in the work of Grothendieck, Maltsiniotis and Cisinski in homotopical algebra. Have you looked at Pursu …
- 2,413
39
votes
3
answers
4k
views
In which situations can one see that topological spaces are ill-behaved from the homotopical...
In the eighties, Grothendieck devoted a great amount of time to work on the foundations of homotopical algebra.
He wrote in "Esquisse d'un programme": "[D]epuis près d'un an, la plus grande partie d …