Question

Proof of the acyclic model theorem - having trouble

score 264 · Answer 1 · 2026-04-11 03:46:28

264

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Proof of the acyclic model theorem - having trouble

Published on 11 Apr 2026 - 3:46

score 46 · Answer 2 · 2026-04-14 01:49:33

46

Views

Homeomorphism of $\vert K\vert_d$ and $S^1$

Published on 14 Apr 2026 - 1:49

score 348 · Answer 3 · 2026-04-14 10:20:58

348

Views

Why $H^p(\coprod_{i\in I}X_i;G)\cong \prod_{i\in I}H^p(X_i;G)$?

Published on 14 Apr 2026 - 10:20

score 2k · Answer 4 · 2026-04-15 00:02:39

2k

Views

How to write proof of the fact that the torus with a point removed is homotopy equivalent to the wedge sum of two circles

Published on 15 Apr 2026 - 0:02

score 258 · Answer 5 · 2026-03-25 07:48:43

258

Views

Does $\mathsf{Top}$ have interesting Grothendieck topologies, and do they have applications?

Published on 25 Mar 2026 - 7:48

score 168 · Answer 6 · 2026-03-25 12:09:37

168

Views

Do higher-dimensional knots have interesting knot polynomials?

Published on 25 Mar 2026 - 12:09

score 94 · Answer 7 · 2026-04-15 12:13:12

94

Views

Showing that the homomorphism induced by the map $f : T=\Bbb R^2 / \Bbb Z^2 \to T$ given by $f[x,y]=[x+y,y]$ is not the identity

Published on 15 Apr 2026 - 12:13

score 130 · Answer 8 · 2026-04-14 09:03:34

130

Views

Prove that $X\mapsto CX$ defines a functor $Top\to Top$

Published on 14 Apr 2026 - 9:03

score 149 · Answer 9 · 2026-04-13 17:54:08

149

Views

Showing $\operatorname{Tor}(\mathbb{Z}_n,A)\cong \ker (\phi$) where $\phi: A \to A$ is multiplication by $n$

Published on 13 Apr 2026 - 17:54

score 31 · Answer 10 · 2026-04-12 04:18:21

31

Views

"Tensoring a sequence with a direct sum of $\mathbb{Z}'s$ produces just a direct sum of copie sof the given sequence"

Published on 12 Apr 2026 - 4:18

score 330 · Answer 11 · 2026-04-16 19:39:02

330

Views

Is any smooth fibre bundle a smooth Hurewicz fibration?

Published on 16 Apr 2026 - 19:39

score 73 · Answer 12 · 2026-04-08 22:26:42

73

Views

An algebraic property of the simplicial boundary operator

Published on 08 Apr 2026 - 22:26

score 493 · Answer 13 · 2026-04-10 08:47:02

493

Views

Proving H-spaces are simple

Published on 10 Apr 2026 - 8:47

score 258 · Answer 14 · 2026-04-16 05:33:29

The fundamental group of the space $Y=S^3-(p^{-1}(\alpha_1)\cup ... \cup p^{-1}(\alpha_n))$, where $p :S^3 \to \Bbb CP^1$ is the quotient map

score 42 · Answer 15 · 2026-04-09 08:24:33

42

Views

Does there exist two h-equal but not h-equivalent topological spaces?

Published on 09 Apr 2026 - 8:24

List Question

Proof of the acyclic model theorem - having trouble

Homeomorphism of $\vert K\vert_d$ and $S^1$

Why $H^p(\coprod_{i\in I}X_i;G)\cong \prod_{i\in I}H^p(X_i;G)$?

How to write proof of the fact that the torus with a point removed is homotopy equivalent to the wedge sum of two circles

Does $\mathsf{Top}$ have interesting Grothendieck topologies, and do they have applications?

Do higher-dimensional knots have interesting knot polynomials?

Showing that the homomorphism induced by the map $f : T=\Bbb R^2 / \Bbb Z^2 \to T$ given by $f[x,y]=[x+y,y]$ is not the identity

Prove that $X\mapsto CX$ defines a functor $Top\to Top$

Showing $\operatorname{Tor}(\mathbb{Z}_n,A)\cong \ker (\phi$) where $\phi: A \to A$ is multiplication by $n$

"Tensoring a sequence with a direct sum of $\mathbb{Z}'s$ produces just a direct sum of copie sof the given sequence"

Is any smooth fibre bundle a smooth Hurewicz fibration?

An algebraic property of the simplicial boundary operator

Proving H-spaces are simple

The fundamental group of the space $Y=S^3-(p^{-1}(\alpha_1)\cup ... \cup p^{-1}(\alpha_n))$, where $p :S^3 \to \Bbb CP^1$ is the quotient map

Does there exist two h-equal but not h-equivalent topological spaces?

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