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user 80467
Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.
3
votes
0
answers
86
views
Derived prestacks regarded as functors into spectra
If $k$ is a field (probably of characteristic zero), the usual definition of a derived prestack is a functor $ X \colon {\operatorname{CDGA}}_{k}^{\le 0} \to \operatorname{Spaces} $ from (graded) comm …
- 295
6
votes
2
answers
383
views
Left adjoint of $I\colon \mathrm{Kan}\hookrightarrow\mathrm{WeakKan}$?
The inclusion $I\colon \mathbf{Grpd}\hookrightarrow\mathbf{Cat}$ of groupoids into categories has both a left and a right adjoint $L,R\colon \mathbf{Cat}\to \mathbf{Grpd}$, with $R(C)$ being largest g …
- 295