Question

How to understand rational homotopy group of spheres

score 96 · Answer 1 · 2026-04-29 12:54:09

96

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How to understand rational homotopy group of spheres

Published on 29 Apr 2026 - 12:54

score 300 · Answer 2 · 2026-03-25 04:42:51

300

Views

Galois Theory of Ramified Coverings & Classical Galois Theory

Published on 25 Mar 2026 - 4:42

score 67 · Answer 3 · 2026-04-11 16:56:26

67

Views

Universal dg-algebra of an $A_\infty$-algebra

Published on 11 Apr 2026 - 16:56

score 264 · Answer 4 · 2026-04-16 14:39:43

264

Views

Finding subgroups of $G=\langle x,y,z~|~x^2y^2z^2 \rangle$ using covering space theory

Published on 16 Apr 2026 - 14:39

score 458 · Answer 5 · 2026-04-13 07:24:34

458

Views

Fundamental group of the complement in $\Bbb R^3$ of the union of the $x$-axis, the $y$-axis, and the cylinder $S^1\times [0,1]$

Published on 13 Apr 2026 - 7:24

score 140 · Answer 6 · 2026-04-15 23:31:01

140

Views

Integral cohomology information from mod 2 cohomology and Bockstein

Published on 15 Apr 2026 - 23:31

score 60 · Answer 7 · 2026-04-25 01:39:37

60

Views

Why does this construction give a weak factorization system in the category of span diagrams?

Published on 25 Apr 2026 - 1:39

score 405 · Answer 8 · 2026-04-09 15:02:44

405

Views

Is a sequential limit of homeomorphisms a homeomorphism?

Published on 09 Apr 2026 - 15:02

score 170 · Answer 9 · 2026-04-10 20:08:29

170

Views

Does an analogue of the sphere theorem hold in higher dimensions?

Published on 10 Apr 2026 - 20:08

score 198 · Answer 10 · 2026-03-26 02:56:24

198

Views

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Published on 26 Mar 2026 - 2:56

score 2.5k · Answer 11 · 2026-04-13 08:46:28

2.5k

Views

Non-homotopic spaces with the same homology groups

Published on 13 Apr 2026 - 8:46

score 44 · Answer 12 · 2026-04-16 11:28:05

44

Views

Show $\prod_1(X,p)$ is non trivial; that is it contains an element besides the identity $[e_p]$

Published on 16 Apr 2026 - 11:28

score 37 · Answer 13 · 2026-04-29 12:51:35

37

Views

Prove that it is NOT $F_{0} \simeq_{S_{1} \cup 2 S_{1}} F_{1}$ for $F(x, t)= e^{2\pi t i (|x|-1)} x$

Published on 29 Apr 2026 - 12:51

score 155 · Answer 14 · 2026-04-25 14:32:33

155

Views

Why the category of CW-complexes is not stable?

Published on 25 Apr 2026 - 14:32

score 31 · Answer 15 · 2026-04-13 17:40:19

31

Views

Given a compact manifold $X$, Is there a ring structure on $[X,lim_n GL(n,C)]$?

Published on 13 Apr 2026 - 17:40

List Question

How to understand rational homotopy group of spheres

Galois Theory of Ramified Coverings & Classical Galois Theory

Universal dg-algebra of an $A_\infty$-algebra

Finding subgroups of $G=\langle x,y,z~|~x^2y^2z^2 \rangle$ using covering space theory

Fundamental group of the complement in $\Bbb R^3$ of the union of the $x$-axis, the $y$-axis, and the cylinder $S^1\times [0,1]$

Integral cohomology information from mod 2 cohomology and Bockstein

Why does this construction give a weak factorization system in the category of span diagrams?

Is a sequential limit of homeomorphisms a homeomorphism?

Does an analogue of the sphere theorem hold in higher dimensions?

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Non-homotopic spaces with the same homology groups

Show $\prod_1(X,p)$ is non trivial; that is it contains an element besides the identity $[e_p]$

Prove that it is NOT $F_{0} \simeq_{S_{1} \cup 2 S_{1}} F_{1}$ for $F(x, t)= e^{2\pi t i (|x|-1)} x$

Why the category of CW-complexes is not stable?

Given a compact manifold $X$, Is there a ring structure on $[X,lim_n GL(n,C)]$?

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