Question

If $A,B$ are homotopic equivalent, $C$ is any topological space then $[A,C]= [B,C]$

score 98 · Answer 1 · 2019-07-10 08:40:04

98

Views

If $A,B$ are homotopic equivalent, $C$ is any topological space then $[A,C]= [B,C]$

Published on 10 Jul 2019 - 8:40

score 492 · Answer 2 · 2026-04-01 06:28:17

492

Views

Higher categories for category theorists?

Published on 01 Apr 2026 - 6:28

score 950 · Answer 3 · 2026-04-14 03:30:27

950

Views

Smash product of $S^1$ with the interval $I$

Published on 14 Apr 2026 - 3:30

score 373 · Answer 4 · 2026-04-11 22:24:41

373

Views

(algebraic topology) question about the cellular approximation theorem

Published on 11 Apr 2026 - 22:24

score 230 · Answer 5 · 2026-04-13 09:07:35

230

Views

Homotopy for Torus into coffee mug

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score 2.4k · Answer 6 · 2019-07-15 17:31:29

2.4k

Views

Homotopy equivalence of S1 and R2-0

Published on 15 Jul 2019 - 17:31

score 224 · Answer 7 · 2019-07-18 00:22:51

224

Views

$\mathbb{S}^2/{\sim} \simeq \mathbb{S}^2\vee\mathbb{S}^1$ where $(0,0,1)\sim (0,0,-1)$

Published on 18 Jul 2019 - 0:22

score 156 · Answer 8 · 2026-03-25 01:18:08

156

Views

Behaviour of direct limits of topological spaces with respect to preimages

Published on 25 Mar 2026 - 1:18

score 88 · Answer 9 · 2026-04-12 05:38:09

88

Views

Is there a weak homotopy equivalence between $\mathrm{Sp}(2n,\mathbb{C})/\mathrm{U}(n)$ and $\mathrm{SU}(n)$?

Published on 12 Apr 2026 - 5:38

score 534 · Answer 10 · 2026-03-25 07:42:15

534

Views

Total Space of Classifying Space Contractible

Published on 25 Mar 2026 - 7:42

score 1.3k · Answer 11 · 2026-04-02 03:51:24

1.3k

Views

homology groups of the quotient of $\mathbb{S}^2$ obtained by identifying north and south poles to a point

Published on 02 Apr 2026 - 3:51

score 461 · Answer 12 · 2026-04-02 03:51:24

461

Views

Let $f : (X, A) → (Y, B)$ be a map such that both $f : X → Y$ and $f : A → B$ are homotopy equivalences.

Published on 02 Apr 2026 - 3:51

score 95 · Answer 13 · 2026-03-26 20:39:35

95

Views

Cofibrations induce fibrations between simplicial mapping spaces in a simplicial model category

Published on 26 Mar 2026 - 20:39

score 191 · Answer 14 · 2026-04-06 21:46:53

191

Views

Homotopy of Functors vs. Homotopy on simplicial complexes

Published on 06 Apr 2026 - 21:46

score 1.4k · Answer 15 · 2026-04-02 03:53:40

1.4k

Views

Homology groups of the space obtained from $\mathbb{D}^2$ by first deleting the interiors of two disjoint subdisks in the interior of $\mathbb{D}^2$

Published on 02 Apr 2026 - 3:53

List Question

If $A,B$ are homotopic equivalent, $C$ is any topological space then $[A,C]= [B,C]$

Higher categories for category theorists?

Smash product of $S^1$ with the interval $I$

(algebraic topology) question about the cellular approximation theorem

Homotopy for Torus into coffee mug

Homotopy equivalence of S1 and R2-0

$\mathbb{S}^2/{\sim} \simeq \mathbb{S}^2\vee\mathbb{S}^1$ where $(0,0,1)\sim (0,0,-1)$

Behaviour of direct limits of topological spaces with respect to preimages

Is there a weak homotopy equivalence between $\mathrm{Sp}(2n,\mathbb{C})/\mathrm{U}(n)$ and $\mathrm{SU}(n)$?

Total Space of Classifying Space Contractible

homology groups of the quotient of $\mathbb{S}^2$ obtained by identifying north and south poles to a point

Let $f : (X, A) → (Y, B)$ be a map such that both $f : X → Y$ and $f : A → B$ are homotopy equivalences.

Cofibrations induce fibrations between simplicial mapping spaces in a simplicial model category

Homotopy of Functors vs. Homotopy on simplicial complexes

Homology groups of the space obtained from $\mathbb{D}^2$ by first deleting the interiors of two disjoint subdisks in the interior of $\mathbb{D}^2$

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