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Results tagged with infinity-categories
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user 14447
Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.
20
votes
Accepted
Is the $\infty$-category of spectra “convenient”?
My colleague Dylan answered first (I keep telling him not to spend too much time on this toy :) but I both agree and disagree with his "Yes of course". The same words are used with different meanings …
- 30.4k
20
votes
Accepted
A category with weak equivalences that is not a model category
A very interesting example: consider semi-simplicial sets (alias $\Delta$-sets).
These are simplicial sets without degeneracies, and there is an ``adjoin degeneracies'' functor from semi-simplicial se …
- 30.4k
4
votes
$t$-structure on modules over highly structured ring spectra
I don't have time to think carefully. However, I answered this question for the sphere $G$-spectrum here:
A heart for stable equivariant homotopy theory.
I see no problem in generalizing that answer …
- 30.4k