Question

Finding a homotopy equivalence between the letters $X$ and $Y$

score 330 · Answer 1 · 2026-04-13 05:15:07

330

Views

Finding a homotopy equivalence between the letters $X$ and $Y$

Published on 13 Apr 2026 - 5:15

score 269 · Answer 2 · 2026-04-11 18:52:18

269

Views

Simple Connectedness of bounded region in $\mathbb{C}$ split by line

Published on 11 Apr 2026 - 18:52

score 672 · Answer 3 · 2026-04-12 23:52:26

672

Views

Classifying map of tensor product of two line bundles

Published on 12 Apr 2026 - 23:52

score 1.7k · Answer 4 · 2026-04-13 22:46:10

1.7k

Views

Homotopy equivalence of one-point space

Published on 13 Apr 2026 - 22:46

score 138 · Answer 5 · 2026-04-13 02:44:22

138

Views

Continuously bijective but not homotopy equivalent.

Published on 13 Apr 2026 - 2:44

score 810 · Answer 6 · 2026-04-10 20:19:43

810

Views

Is a space of functions between two simply connected spaces connected itself?

Published on 10 Apr 2026 - 20:19

score 649 · Answer 7 · 2026-04-25 19:15:18

649

Views

Reference for homological algebra via model categories and/or stable $(\infty,1)$-category theory

Published on 25 Apr 2026 - 19:15

score 478 · Answer 8 · 2026-04-12 00:13:24

478

Views

Space of all complex structures on $V$ is homotopy equivalent to the space of (linear) symplectic forms on $V$

Published on 12 Apr 2026 - 0:13

score 1.3k · Answer 9 · 2026-03-28 22:27:09

1.3k

Views

What is the boundary map in the long exact sequence in homotopy groups? (Especially for $SO(n)$)

Published on 28 Mar 2026 - 22:27

score 184 · Answer 10 · 2026-04-13 10:06:46

184

Views

$\det:U(n)\to S^1$ induces isomorphism of first homotopy groups: how to prove?

Published on 13 Apr 2026 - 10:06

score 1.6k · Answer 11 · 2026-04-09 18:22:12

1.6k

Views

The exact relationship between Clifford algebras and certain special isomorphic k-algebras

Published on 09 Apr 2026 - 18:22

score 108 · Answer 12 · 2026-04-12 21:49:33

108

Views

Show that $\pi_1(SO(\infty))=\mathbb{Z}_2$ and $\pi_9(SO(\infty))=\mathbb{Z}_2$

Published on 12 Apr 2026 - 21:49

score 120 · Answer 13 · 2026-04-15 20:15:08

120

Views

If two topological manifolds are homotopy equivalent, what does this tell us about the categories of vector bundles over them?

Published on 15 Apr 2026 - 20:15

score 446 · Answer 14 · 2026-05-10 23:18:56

446

Views

Nonabelian second relative homotopy group

Published on 10 May 2026 - 23:18

score 255 · Answer 15 · 2026-04-22 21:31:11

255

Views

Two spaces, each a retract of the other, which are not homotopy equivalent

Published on 22 Apr 2026 - 21:31

List Question

Finding a homotopy equivalence between the letters $X$ and $Y$

Simple Connectedness of bounded region in $\mathbb{C}$ split by line

Classifying map of tensor product of two line bundles

Homotopy equivalence of one-point space

Continuously bijective but not homotopy equivalent.

Is a space of functions between two simply connected spaces connected itself?

Reference for homological algebra via model categories and/or stable $(\infty,1)$-category theory

Space of all complex structures on $V$ is homotopy equivalent to the space of (linear) symplectic forms on $V$

What is the boundary map in the long exact sequence in homotopy groups? (Especially for $SO(n)$)

$\det:U(n)\to S^1$ induces isomorphism of first homotopy groups: how to prove?

The exact relationship between Clifford algebras and certain special isomorphic k-algebras

Show that $\pi_1(SO(\infty))=\mathbb{Z}_2$ and $\pi_9(SO(\infty))=\mathbb{Z}_2$

If two topological manifolds are homotopy equivalent, what does this tell us about the categories of vector bundles over them?

Nonabelian second relative homotopy group

Two spaces, each a retract of the other, which are not homotopy equivalent

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