Question

Does the Gauss-Bonnet theorem apply to non-orientable surfaces?

score 2k · Answer 1 · 2026-04-03 15:49:40

2k

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Does the Gauss-Bonnet theorem apply to non-orientable surfaces?

Published on 03 Apr 2026 - 15:49

score 329 · Answer 2 · 2026-03-25 00:53:00

329

Views

Understanding Adams spectral sequence and Pontryagin-Thom isomorphism intuitively

Published on 25 Mar 2026 - 0:53

score 550 · Answer 3 · 2018-08-20 07:11:22

Lifts of relative homotopic paths to the same base point $\Rightarrow$ The lifts homotopic and agree on the end point.

score 202 · Answer 4 · 2026-03-25 19:01:30

202

Views

Relation between the $2^n$-Bockstein homomorphisms

Published on 25 Mar 2026 - 19:01

score 289 · Answer 5 · 2026-03-30 10:38:37

289

Views

Any references for Wall's Lemma of exactness?

Published on 30 Mar 2026 - 10:38

score 109 · Answer 6 · 2018-08-20 12:06:09

109

Views

Find a homotopy between $f,g: S^1 \to S^1$

Published on 20 Aug 2018 - 12:06

score 1k · Answer 7 · 2018-08-20 14:52:17

1k

Views

infinite product of $1$-sphere has no universal covering space

Published on 20 Aug 2018 - 14:52

score 116 · Answer 8 · 2026-03-26 01:07:23

116

Views

Induced stable framing on circles

Published on 26 Mar 2026 - 1:07

score 154 · Answer 9 · 2018-08-20 17:09:41

154

Views

Explicit homeomorphism from $I \times I$ to itself that maps $I\times \{0\} \cup \{0,1\} \times I$ to $I \times \{0\}$

Published on 20 Aug 2018 - 17:09

score 86 · Answer 10 · 2018-08-21 07:19:21

86

Views

Euler Characteristic of Spherical Polygon

Published on 21 Aug 2018 - 7:19

score 124 · Answer 11 · 2026-03-30 14:26:06

124

Views

How do we re-arrange a manifold cover without information on component-wise intersections in such a way that homology is computable?

Published on 30 Mar 2026 - 14:26

score 97 · Answer 12 · 2018-08-21 21:00:29

97

Views

Prove that the rational cohomology ring requires more than one generator iff $\dim\pi_{\text{odd}}(M)\otimes\mathbb{Q}>1$

Published on 21 Aug 2018 - 21:00

score 2.3k · Answer 13 · 2026-03-25 22:06:27

2.3k

Views

Relative homology $H_n(T^2,S^1)$ (Hatcher, Exc 2.1,17.b)

Published on 25 Mar 2026 - 22:06

score 394 · Answer 14 · 2018-08-21 23:52:02

394

Views

Calculating homology of mapping torus (is this question incorrect?)

Published on 21 Aug 2018 - 23:52

score 229 · Answer 15 · 2026-04-01 00:28:56

229

Views

How to visualize the String(n) group?

Published on 01 Apr 2026 - 0:28

List Question

Does the Gauss-Bonnet theorem apply to non-orientable surfaces?

Understanding Adams spectral sequence and Pontryagin-Thom isomorphism intuitively

Lifts of relative homotopic paths to the same base point $\Rightarrow$ The lifts homotopic and agree on the end point.

Relation between the $2^n$-Bockstein homomorphisms

Any references for Wall's Lemma of exactness?

Find a homotopy between $f,g: S^1 \to S^1$

infinite product of $1$-sphere has no universal covering space

Induced stable framing on circles

Explicit homeomorphism from $I \times I$ to itself that maps $I\times \{0\} \cup \{0,1\} \times I$ to $I \times \{0\}$

Euler Characteristic of Spherical Polygon

How do we re-arrange a manifold cover without information on component-wise intersections in such a way that homology is computable?

Prove that the rational cohomology ring requires more than one generator iff $\dim\pi_{\text{odd}}(M)\otimes\mathbb{Q}>1$

Relative homology $H_n(T^2,S^1)$ (Hatcher, Exc 2.1,17.b)

Calculating homology of mapping torus (is this question incorrect?)

How to visualize the String(n) group?

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