Question

Let x,y,z,u be loops in a point p: x•y and z•u are homotopic and y is homotopic to u then x is homotopic to z

score 20 · Answer 1 · 2019-05-25 17:35:24

20

Views

Let x,y,z,u be loops in a point p: x•y and z•u are homotopic and y is homotopic to u then x is homotopic to z

Published on 25 May 2019 - 17:35

score 338 · Answer 2 · 2026-03-19 17:04:45

338

Views

Is the homology of the based loop space of a compact globally symmetric space a polynomial ring?

Published on 19 Mar 2026 - 17:04

score 603 · Answer 3 · 2014-05-05 17:41:14

603

Views

How to explain why free loop space, or based loop space, is infinite dimensional to non-math people.

Published on 05 May 2014 - 17:41

score 493 · Answer 4 · 2014-05-09 20:17:22

493

Views

lifting a closed curve

Published on 09 May 2014 - 20:17

score 41 · Answer 5 · 2014-05-09 20:37:29

41

Views

existance of loop with finitely many point of intersection

Published on 09 May 2014 - 20:37

score 145 · Answer 6 · 2014-07-03 20:13:04

145

Views

For compact surface $M$ and loop $f$ there exists a surjection $\phi: H_1(M) \to \mathbb{Z}/8\mathbb{Z}$ such that $f \notin \ker(\phi)$

Published on 03 Jul 2014 - 20:13

score 479 · Answer 7 · 2014-07-30 17:52:47

479

Views

On loop space of a product

Published on 30 Jul 2014 - 17:52

score 671 · Answer 8 · 2026-03-25 00:53:20

671

Views

Loop spaces have the homotopy type of a topological groups

Published on 25 Mar 2026 - 0:53

score 236 · Answer 9 · 2026-03-22 19:47:40

236

Views

What is the map $\Sigma K(G,n) \to K(G,n+1)$?

Published on 22 Mar 2026 - 19:47

score 1.5k · Answer 10 · 2014-10-18 19:06:17

1.5k

Views

When is the free loop space simply connected?

Published on 18 Oct 2014 - 19:06

score 136 · Answer 11 · 2026-03-25 07:58:38

136

Views

$E_{\infty}$ spaces are $A_{\infty}$ spaces

Published on 25 Mar 2026 - 7:58

score 161 · Answer 12 · 2026-03-25 04:29:04

161

Views

What is a thin loop?

Published on 25 Mar 2026 - 4:29

score 450 · Answer 13 · 2026-03-25 09:27:19

450

Views

Free loop space of classifying space as a disjoint union of classifying spaces of centralizer proof reference request.

Published on 25 Mar 2026 - 9:27

score 165 · Answer 14 · 2019-10-10 06:17:01

165

Views

Definition of an infinite loop space

Published on 10 Oct 2019 - 6:17

score 77 · Answer 15 · 2019-10-29 15:50:00

77

Views

Are the base points of freely homotopic loops guaranteed to be in the same path-component?

Published on 29 Oct 2019 - 15:50

List Question

Let x,y,z,u be loops in a point p: x•y and z•u are homotopic and y is homotopic to u then x is homotopic to z

Is the homology of the based loop space of a compact globally symmetric space a polynomial ring?

How to explain why free loop space, or based loop space, is infinite dimensional to non-math people.

lifting a closed curve

existance of loop with finitely many point of intersection

For compact surface $M$ and loop $f$ there exists a surjection $\phi: H_1(M) \to \mathbb{Z}/8\mathbb{Z}$ such that $f \notin \ker(\phi)$

On loop space of a product

Loop spaces have the homotopy type of a topological groups

What is the map $\Sigma K(G,n) \to K(G,n+1)$?

When is the free loop space simply connected?

$E_{\infty}$ spaces are $A_{\infty}$ spaces

What is a thin loop?

Free loop space of classifying space as a disjoint union of classifying spaces of centralizer proof reference request.

Definition of an infinite loop space

Are the base points of freely homotopic loops guaranteed to be in the same path-component?

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