Question

Correspondence between $(\mathbb{R}P^2,q) \rightarrow (S^1 \times S^1, x_0)$ and $(\mathbb{R}P^2,q) \rightarrow (\mathbb{R}^2,(0,0))$

score 30 · Answer 1 · 2019-05-12 20:20:11

30

Views

Correspondence between $(\mathbb{R}P^2,q) \rightarrow (S^1 \times S^1, x_0)$ and $(\mathbb{R}P^2,q) \rightarrow (\mathbb{R}^2,(0,0))$

Published on 12 May 2019 - 20:20

score 68 · Answer 2 · 2019-05-12 20:37:07

68

Views

Showing $(0,1)^3$ is not homeomorphic to $[0,1)^3$

Published on 12 May 2019 - 20:37

score 260 · Answer 3 · 2026-04-13 04:01:48

260

Views

$\pi_1(U\cap V)\cong\mathbb{Z}$ for $U,V$ simply connected

Published on 13 Apr 2026 - 4:01

score 113 · Answer 4 · 2019-05-12 23:07:03

113

Views

All continuous map $S^3 \to S^1 \times S^2$ has degree 0?

Published on 12 May 2019 - 23:07

score 43 · Answer 5 · 2026-04-10 23:17:58

43

Views

simply connectedness

Published on 10 Apr 2026 - 23:17

score 301 · Answer 6 · 2026-03-25 17:26:33

301

Views

Graph in genus 1

Published on 25 Mar 2026 - 17:26

score 320 · Answer 7 · 2026-03-24 23:45:07

320

Views

What does it mean to say $K$-theory satisfy Mayer–Vietoris sequence?

Published on 24 Mar 2026 - 23:45

score 1.3k · Answer 8 · 2026-04-09 06:08:22

1.3k

Views

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Published on 09 Apr 2026 - 6:08

score 763 · Answer 9 · 2026-04-12 14:37:01

763

Views

Fundamental group of a solid torus with a tunnel?

Published on 12 Apr 2026 - 14:37

score 134 · Answer 10 · 2026-04-12 21:09:05

134

Views

Possible finite groups that can act properly discontinuously on $S^2$

Published on 12 Apr 2026 - 21:09

score 259 · Answer 11 · 2026-04-09 11:16:57

259

Views

Proof of Kunneth theorem

Published on 09 Apr 2026 - 11:16

score 614 · Answer 12 · 2026-04-12 20:19:13

614

Views

$k^{th}$ homology of $n$-torus via Mayer–Vietoris sequence

Published on 12 Apr 2026 - 20:19

score 151 · Answer 13 · 2026-04-12 21:06:31

151

Views

About deformation retract of pairs

Published on 12 Apr 2026 - 21:06

score 1.1k · Answer 14 · 2026-03-25 09:43:51

1.1k

Views

Milnor's proof that a smooth manifold has the homotopy type of a CW complex

Published on 25 Mar 2026 - 9:43

score 202 · Answer 15 · 2026-04-11 02:21:30

202

Views

Possible error in proof of PL-approximation (Hatcher)

Published on 11 Apr 2026 - 2:21

List Question

Correspondence between $(\mathbb{R}P^2,q) \rightarrow (S^1 \times S^1, x_0)$ and $(\mathbb{R}P^2,q) \rightarrow (\mathbb{R}^2,(0,0))$

Showing $(0,1)^3$ is not homeomorphic to $[0,1)^3$

$\pi_1(U\cap V)\cong\mathbb{Z}$ for $U,V$ simply connected

All continuous map $S^3 \to S^1 \times S^2$ has degree 0?

simply connectedness

Graph in genus 1

What does it mean to say $K$-theory satisfy Mayer–Vietoris sequence?

What is the fundamental group of $RP^{2}$ # $\cdots$ # $RP^{2}$

Fundamental group of a solid torus with a tunnel?

Possible finite groups that can act properly discontinuously on $S^2$

Proof of Kunneth theorem

$k^{th}$ homology of $n$-torus via Mayer–Vietoris sequence

About deformation retract of pairs

Milnor's proof that a smooth manifold has the homotopy type of a CW complex

Possible error in proof of PL-approximation (Hatcher)

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