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user 78824
Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.
2
votes
1
answer
186
views
What is a non-example of and $(\infty,1)$-topos where disjointness fails?
One of the axioms for $(\infty,1)$-topoi is that the topos is disjoint, meaning that we have the following pullback diagram
$$
\begin{matrix}
0 & \rightarrow & A \\
\downarrow & & \downarrow \\
B & \r …
- 1,716
10
votes
1
answer
618
views
Is the $E_\infty$-structure on the cochain complex of a $K(G,n)$ readily understandable?
One way to construct an $E_\infty$-algebra is to consider the cochain complex $C^*(X;M)$ for $X$ a topological space and $M$ a module over some ring $\Lambda$. From what I can recall, the $E_\infty$-a …
- 1,716