Question

Hatcher exercise 3.2.14 - on the surjectivity of the map $q: \mathbb{R}P^2 \to \mathbb{C}P^1$ in cohomology $H^2$

score 524 · Answer 1 · 2026-04-16 05:04:35

524

Views

Hatcher exercise 3.2.14 - on the surjectivity of the map $q: \mathbb{R}P^2 \to \mathbb{C}P^1$ in cohomology $H^2$

Published on 16 Apr 2026 - 5:04

score 92 · Answer 2 · 2026-04-11 02:24:07

92

Views

Degree-wise free chain complexes over $Z$ and CW-complexes

Published on 11 Apr 2026 - 2:24

score 410 · Answer 3 · 2026-04-13 07:25:20

410

Views

Relation between half smash and smash product

Published on 13 Apr 2026 - 7:25

score 103 · Answer 4 · 2026-04-14 01:36:51

103

Views

For $n>>i$ the maps $h^i(X) \to h^i(X^n)$ and $k^i(X) \to k^i(X^n)$ induced by the inclusion $X^n \to X$ are isomorphisms.

Published on 14 Apr 2026 - 1:36

score 57 · Answer 5 · 2026-04-16 00:45:44

57

Views

For CW pairs $(X,A),(Y,B)$, $X\times Y/A\times Y\cup X\times B$ and $X\times (Y/B)/A\times (Y/B)\cup X \times (B/B)$ are homeomorphic

Published on 16 Apr 2026 - 0:45

score 141 · Answer 6 · 2026-05-10 17:35:44

141

Views

Does every closed manifold have a finite CW structure?

Published on 10 May 2026 - 17:35

score 702 · Answer 7 · 2026-04-15 12:17:02

702

Views

Cell decomposition for $\mathbb{C}P^n$ that has $\mathbb{R}P^n$ as a subcomplex?

Published on 15 Apr 2026 - 12:17

score 443 · Answer 8 · 2026-04-14 20:25:47

443

Views

Isomorphism of the homology group to the associated cellular homology group

Published on 14 Apr 2026 - 20:25

score 137 · Answer 9 · 2026-04-16 13:34:25

137

Views

Relative Mapping Cylinders

Published on 16 Apr 2026 - 13:34

score 261 · Answer 10 · 2026-04-14 03:56:11

261

Views

Uniqueness of CW approximations

Published on 14 Apr 2026 - 3:56

score 109 · Answer 11 · 2026-04-13 08:49:02

109

Views

A CW complex may have any point as a $0$-cell?

Published on 13 Apr 2026 - 8:49

score 225 · Answer 12 · 2026-04-13 16:59:21

225

Views

Universal cover of a space with cell attached

Published on 13 Apr 2026 - 16:59

score 83 · Answer 13 · 2026-05-05 04:35:42

83

Views

confusion in a proof of local finiteness of partitions of unity in CW complexes in John Lee's Introduction to Smooth Manifolds

Published on 05 May 2026 - 4:35

score 110 · Answer 14 · 2026-04-10 20:06:56

110

Views

Whitehead's theorem for maps

Published on 10 Apr 2026 - 20:06

score 450 · Answer 15 · 2026-04-12 15:27:27

450

Views

Hatcher's proof of Quillen plus construction

Published on 12 Apr 2026 - 15:27

List Question

Hatcher exercise 3.2.14 - on the surjectivity of the map $q: \mathbb{R}P^2 \to \mathbb{C}P^1$ in cohomology $H^2$

Degree-wise free chain complexes over $Z$ and CW-complexes

Relation between half smash and smash product

For $n>>i$ the maps $h^i(X) \to h^i(X^n)$ and $k^i(X) \to k^i(X^n)$ induced by the inclusion $X^n \to X$ are isomorphisms.

For CW pairs $(X,A),(Y,B)$, $X\times Y/A\times Y\cup X\times B$ and $X\times (Y/B)/A\times (Y/B)\cup X \times (B/B)$ are homeomorphic

Does every closed manifold have a finite CW structure?

Cell decomposition for $\mathbb{C}P^n$ that has $\mathbb{R}P^n$ as a subcomplex?

Isomorphism of the homology group to the associated cellular homology group

Relative Mapping Cylinders

Uniqueness of CW approximations

A CW complex may have any point as a $0$-cell?

Universal cover of a space with cell attached

confusion in a proof of local finiteness of partitions of unity in CW complexes in John Lee's Introduction to Smooth Manifolds

Whitehead's theorem for maps

Hatcher's proof of Quillen plus construction

Trending Questions

Popular # Hahtags

Popular Questions