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Results tagged with higher-category-theory
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user 8032
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
11
votes
1
answer
583
views
co-$A_\infty$ spaces
A co-$A_n$ space is a based space $Y$ equipped with a co-action by the Stasheff associahedron operad $K_\bullet$. This means that $Y$ is comes with certain maps $c_n: Y \times K_n \to Y^{\vee n}$, $n …
- 18.5k
8
votes
Accepted
What is the Q-construction, metaphysically?
There's an interesting motivation in the paper by G. Segal:
K-homology theory and algebraic K-theory. K-theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975), pp. 113–127. Lec …
- 18.5k
12
votes
The space of framed functions
Eliashberg once told me that the framed function theorem should be a consequence of his work on wrinkled maps.
Igusa and I gave a fairly direct proof that the space of framed functions on the circle …
- 18.5k
9
votes
Accepted
What is the delooping of a looping?
A simple example should indicate the general phenomenon: Let $A$ be a discrete based set.
The $\Omega A$ is a point, so $B \Omega A$ is a point.
The general phenomenon is this:
$B\Omega A$ is always …
- 18.5k