Question

Proof for a classifying space for $K$ Theory.

score 124 · Answer 1 · 2026-04-12 09:53:07

124

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Proof for a classifying space for $K$ Theory.

Published on 12 Apr 2026 - 9:53

score 364 · Answer 2 · 2026-04-11 07:07:00

364

Views

What is the meaning of "preferred"?

Published on 11 Apr 2026 - 7:07

score 145 · Answer 3 · 2026-04-04 07:04:07

145

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I want to prove that a topological space is a category with elements as objects and homotopy equivalence classes of paths as morphisms.

Published on 04 Apr 2026 - 7:04

score 113 · Answer 4 · 2026-03-25 07:44:38

113

Views

Expressing a term in $BH\to BG \to B(G/H) $ as a function of the other two. Classifying spaces and fibrations.

Published on 25 Mar 2026 - 7:44

score 97 · Answer 5 · 2026-04-11 05:15:13

97

Views

A Homology calculation Question

Published on 11 Apr 2026 - 5:15

score 332 · Answer 6 · 2026-03-25 14:29:56

332

Views

Find a compact orientable surface whose boundary is the Hopf Link.

Published on 25 Mar 2026 - 14:29

score 682 · Answer 7 · 2019-04-16 17:08:21

682

Views

If a mapping $f:X \rightarrow S^4$ is not surjective, then it must be null-homotopic?

Published on 16 Apr 2019 - 17:08

score 96 · Answer 8 · 2019-04-16 21:33:52

96

Views

Point Set Topology (open sets, polynomials, hausdorff spaces)

Published on 16 Apr 2019 - 21:33

score 56 · Answer 9 · 2026-04-01 12:29:32

56

Views

Classifying maps and transition functions

Published on 01 Apr 2026 - 12:29

score 99 · Answer 10 · 2026-04-12 03:30:01

99

Views

same CW chain complex implies homotopic?

Published on 12 Apr 2026 - 3:30

score 130 · Answer 11 · 2026-04-11 00:58:35

130

Views

What are the homotopy groups of $\mathbb{R}^2\setminus S^1$ = the plane without the circle?

Published on 11 Apr 2026 - 0:58

score 110 · Answer 12 · 2026-03-30 23:13:17

110

Views

If G is a group homeomorphism, M manifold then M/G is a manifold.

Published on 30 Mar 2026 - 23:13

score 1k · Answer 13 · 2026-03-26 07:40:33

1k

Views

Hatcher problem 1.3.8

Published on 26 Mar 2026 - 7:40

score 248 · Answer 14 · 2019-04-17 08:17:46

Let p: E--->B be a covering map with E connected, and p(e0)=b0. Show that the homomorphism p* : π1(E; e0)--->π1(B; b0) is one to one.

score 371 · Answer 15 · 2026-03-25 16:01:06

371

Views

How can we apply generalized Stokes' theorem to a non-oriented manifold with boundary?

Published on 25 Mar 2026 - 16:01

List Question

Proof for a classifying space for $K$ Theory.

What is the meaning of "preferred"?

I want to prove that a topological space is a category with elements as objects and homotopy equivalence classes of paths as morphisms.

Expressing a term in $BH\to BG \to B(G/H) $ as a function of the other two. Classifying spaces and fibrations.

A Homology calculation Question

Find a compact orientable surface whose boundary is the Hopf Link.

If a mapping $f:X \rightarrow S^4$ is not surjective, then it must be null-homotopic?

Point Set Topology (open sets, polynomials, hausdorff spaces)

Classifying maps and transition functions

same CW chain complex implies homotopic?

What are the homotopy groups of $\mathbb{R}^2\setminus S^1$ = the plane without the circle?

If G is a group homeomorphism, M manifold then M/G is a manifold.

Hatcher problem 1.3.8

Let p: E--->B be a covering map with E connected, and p(e0)=b0. Show that the homomorphism p* : π1(E; e0)--->π1(B; b0) is one to one.

How can we apply generalized Stokes' theorem to a non-oriented manifold with boundary?

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