Question

Why do $P^2$#$T$ and $P^2$#$P^2$#$P^2$ have different genus?

score 469 · Answer 1 · 2018-05-10 16:00:48

469

Views

Why do $P^2$#$T$ and $P^2$#$P^2$#$P^2$ have different genus?

Published on 10 May 2018 - 16:00

score 47 · Answer 2 · 2018-05-10 17:54:06

47

Views

telescope as homotopy pushout

Published on 10 May 2018 - 17:54

score 267 · Answer 3 · 2026-03-25 20:59:50

267

Views

Euler characteristic of a Vector bundle vanishes

Published on 25 Mar 2026 - 20:59

score 259 · Answer 4 · 2026-03-29 20:20:50

259

Views

Local homology of isolated singularity

Published on 29 Mar 2026 - 20:20

score 417 · Answer 5 · 2026-03-25 15:59:03

417

Views

Show that $\pi_1 ( \mathbb{R}^2 - \mathbb{Q}^2)$ is uncountable

Published on 25 Mar 2026 - 15:59

score 462 · Answer 6 · 2018-05-11 02:51:56

is there a continuous surjective map $f : T \rightarrow T$ such that the induced homomorphism $f^* : H1(T,x) \rightarrow H1(T,x)$is the zero-map.

score 156 · Answer 7 · 2018-05-11 04:03:32

156

Views

Connected three sheeted covers of $S^1 \vee T^2$

Published on 11 May 2018 - 4:03

score 83 · Answer 8 · 2018-05-11 04:37:07

83

Views

Let $f:X\rightarrow Y$ be a map that induces the zero map in the fundamental groups if $f$ nullhomotopic?

Published on 11 May 2018 - 4:37

score 138 · Answer 9 · 2026-03-26 01:10:37

138

Views

Topology of smooth affine varieties

Published on 26 Mar 2026 - 1:10

score 182 · Answer 10 · 2018-05-11 13:14:24

182

Views

Orientable Double Cover of $\mathbb{R}\mathbb{P}^2 \times \mathbb{R}\mathbb{P}^2$

Published on 11 May 2018 - 13:14

score 355 · Answer 11 · 2018-05-11 21:48:21

355

Views

Homology of real projective plane with two points identified

Published on 11 May 2018 - 21:48

score 159 · Answer 12 · 2026-03-29 20:27:42

159

Views

Total spaces of orientable $2n$-sphere bundles

Published on 29 Mar 2026 - 20:27

score 33 · Answer 13 · 2026-03-25 11:00:57

33

Views

Does $A\simeq_\varphi B$ imply $A/{\sim}\,\, \simeq B/\varphi(\sim)$?

Published on 25 Mar 2026 - 11:00

score 72 · Answer 14 · 2026-03-25 06:12:15

72

Views

$\mathbb{R}$ -Linear independence of periods in Riemann surfaces.

Published on 25 Mar 2026 - 6:12

score 571 · Answer 15 · 2026-03-25 12:49:59

571

Views

de-Rham cohomology $H^1(S)$ and $ \operatorname{Hom}(\pi_1(S, s_0), (\mathbb{R},+))$ are isomorphic?

Published on 25 Mar 2026 - 12:49

List Question

Why do $P^2$#$T$ and $P^2$#$P^2$#$P^2$ have different genus?

telescope as homotopy pushout

Euler characteristic of a Vector bundle vanishes

Local homology of isolated singularity

Show that $\pi_1 ( \mathbb{R}^2 - \mathbb{Q}^2)$ is uncountable

is there a continuous surjective map $f : T \rightarrow T$ such that the induced homomorphism $f^* : H1(T,x) \rightarrow H1(T,x)$is the zero-map.

Connected three sheeted covers of $S^1 \vee T^2$

Let $f:X\rightarrow Y$ be a map that induces the zero map in the fundamental groups if $f$ nullhomotopic?

Topology of smooth affine varieties

Orientable Double Cover of $\mathbb{R}\mathbb{P}^2 \times \mathbb{R}\mathbb{P}^2$

Homology of real projective plane with two points identified

Total spaces of orientable $2n$-sphere bundles

Does $A\simeq_\varphi B$ imply $A/{\sim}\,\, \simeq B/\varphi(\sim)$?

$\mathbb{R}$ -Linear independence of periods in Riemann surfaces.

de-Rham cohomology $H^1(S)$ and $ \operatorname{Hom}(\pi_1(S, s_0), (\mathbb{R},+))$ are isomorphic?

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