List questions from differential-topology

Published on 14 Apr 2026 - 7:48

39

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Does 2 manifolds can be "isotoped away"?

Published on 11 Apr 2026 - 16:55

1.2k

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Prove where exp: Skew($3\times 3$) $\rightarrow SO(3)$ is local homeomorphism

Published on 14 Apr 2026 - 19:47

491

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Are space of paths between two different points and space of pointed loops only homotopy equivalent? What about smooth case?

Published on 26 Mar 2026 - 2:47

41

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$dg_y$ carries a subspace of $T_y(Y)$ onto $\mathbb{R}^l$

Published on 14 Apr 2026 - 7:25

74

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Show $\exists p \notin f(X) \cup Z$ by Sard

Published on 16 Apr 2026 - 3:05

59

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Submersions and complex structure

Published on 10 Apr 2026 - 2:11

1.4k

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Moebius strip as a fibre bundle

Published on 17 Apr 2026 - 7:33

294

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Intersection number on $S^k$

Published on 11 Apr 2026 - 5:17

480

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Loops in $\mathbb RP^2$

Published on 12 Apr 2026 - 6:16

192

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$GL(n,\mathbb{C})$ is semi-locally simply connected.

Published on 13 Apr 2026 - 19:31

887

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Are there degree-1 maps from $S^2 \times S^3 \rightarrow S^5$ or from $S^5 \rightarrow S^2\times S^3$?

Published on 15 Apr 2026 - 7:22

1.1k

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a Problem about Degree of Map between Spheres

Published on 13 Apr 2026 - 7:51

296

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transverse homotopy

Published on 11 Apr 2026 - 9:01

478

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Diffeomorphism $S^1\to S^1$ extends to a diffeomorphism $D^2\to D^2$

Published on 15 Apr 2026 - 19:23

List Question

Topological property of some manifold

Does 2 manifolds can be "isotoped away"?

Prove where exp: Skew($3\times 3$) $\rightarrow SO(3)$ is local homeomorphism

Are space of paths between two different points and space of pointed loops only homotopy equivalent? What about smooth case?

$dg_y$ carries a subspace of $T_y(Y)$ onto $\mathbb{R}^l$

Show $\exists p \notin f(X) \cup Z$ by Sard

Submersions and complex structure

Moebius strip as a fibre bundle

Intersection number on $S^k$

Loops in $\mathbb RP^2$

$GL(n,\mathbb{C})$ is semi-locally simply connected.

Are there degree-1 maps from $S^2 \times S^3 \rightarrow S^5$ or from $S^5 \rightarrow S^2\times S^3$?

a Problem about Degree of Map between Spheres

transverse homotopy

Diffeomorphism $S^1\to S^1$ extends to a diffeomorphism $D^2\to D^2$

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