List questions from differential-topology

Published on 28 Jan 2019 - 10:51

101

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Is there any general theory about existence of smooth structures of a topological manifold?

Published on 28 Jan 2019 - 19:57

636

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Definition of smooth maps between manifolds in $\mathbb{R}^n$

Published on 29 Jan 2019 - 7:05

1k

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Can't understand the definition of equivalence of topological atlas.

Published on 30 Jan 2019 - 3:36

84

Views

Discrete Morse Function for $n$-simplex

Published on 25 Mar 2026 - 9:22

128

Views

Same homotopy type as circle

Published on 25 Mar 2026 - 15:23

102

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Understanding submersions in differential topology

Published on 31 Jan 2019 - 8:38

50

Views

Submersions in differential topology

Published on 31 Jan 2019 - 9:46

715

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Obtaining the three torus via Dehn surgery

Published on 25 Mar 2026 - 7:49

84

Views

Extending a monomorphism of bundles, Lemma 7.3, Atiyah, Shapiro

Published on 25 Mar 2026 - 14:26

584

Views

How do I prove that the second derivative of a function $f:M\to\mathbb{R}$ defined on a surface $M\subset\mathbb{R}^n$ is well defined?

Published on 31 Jan 2019 - 17:02

39

Views

An isomorphism of vector bundles over a manifold, $K(X)$,

Published on 25 Mar 2026 - 3:07

31

Views

What is the classification of (3, 4)-pseudoriemannian manifolds?

Published on 31 Jan 2019 - 19:42

179

Views

Critical values for a projection map

Published on 31 Jan 2019 - 22:49

79

Views

A Topological Invariant for $\pi_3(U(n))$

Published on 26 Mar 2026 - 14:19

List Question

How does a section of a bundle with fibre $\mathbb{P}^N$ give us a spin structure?

Is there any general theory about existence of smooth structures of a topological manifold?

Definition of smooth maps between manifolds in $\mathbb{R}^n$

Can't understand the definition of equivalence of topological atlas.

Discrete Morse Function for $n$-simplex

Same homotopy type as circle

Understanding submersions in differential topology

Submersions in differential topology

Obtaining the three torus via Dehn surgery

Extending a monomorphism of bundles, Lemma 7.3, Atiyah, Shapiro

How do I prove that the second derivative of a function $f:M\to\mathbb{R}$ defined on a surface $M\subset\mathbb{R}^n$ is well defined?

An isomorphism of vector bundles over a manifold, $K(X)$,

What is the classification of (3, 4)-pseudoriemannian manifolds?

Critical values for a projection map

A Topological Invariant for $\pi_3(U(n))$

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