58

Answers
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6
classifying space of a strange category
4
On the naturality of the bar construction
3
A question on composites of pushforward and pullback
5
Naturality of the transfer in group cohomology
8
Fixed point of $S^1$-action using roots of unity
13
Computation of stable homotopy groups of $RP^2$
11
Is every ‘'group-completion’' map an acyclic map?
3
Conjuring phantoms by hand?
13
A map inducing isomorphisms on homology but not on homotopy
7
simplicial spaces without degeneracies
1
Classifying spaces of topological categories
7
classifying space of linear embeddings
4
Is there a counterexample to this stronger version of James homotopy splitting?
8
Uniqueness of compactification of an end of a manifold
5
Twisted cohomology of the mapping class group
9
Homology of loop space
8
A Desirable Extension of the Nerve Theorem
2
generators of Out(F_n) and homology
9
Spin structures and quadratic forms on surfaces
5
Calculate the group cohomology classes $H^d[U(1)\rtimes Z_2, Z]$ and $H^d[U(1)\rtimes Z_2, Z_T]$
10
Is it true that all sphere bundles are boundaries of disk bundles?
33
Examples where it’s useful to know that a mathematical object belongs to some family of objects
3
Spin structure on mapping torus
4
Delooping maps between H-spaces
5
A very basic question about Abel-Jacobi map
6
Embeddings of vector spaces
9
How does all of the bundles over a certain manifold characterize the homotopy class of the base manifold?
8
Low degree cohomology of Eilenberg-MacLane space K(G,2)?
13
Are the associative grassmannian and the quaternionic projective plane diffeomorphic?
7
Relation between cohomology of ordered and unordered configuration spaces?
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