List questions from differential-topology

Published on 25 Mar 2026 - 1:23

178

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Neighbourhood of a point where $(\theta_1)_{t_1} \circ (\theta_2)_{t_2} \circ \cdots \circ (\theta_k)_{t_k}$ is defined

Published on 06 Sep 2018 - 3:19

1.2k

Views

Topology and smooth structure on tangent bundle

Published on 24 Mar 2026 - 23:43

936

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Degree of a map and Suspension

Published on 07 Sep 2018 - 8:33

81

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Critical values and real-analytic mappings between manifolds

Published on 08 Sep 2018 - 16:52

1.4k

Views

Coorientation of contact structures

Published on 26 Mar 2026 - 23:55

57

Views

$\mathcal{C}^1$-topology of a submanifold with boundary

Published on 25 Mar 2026 - 3:03

64

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Sum formulas for Pontrjagin square and Postnikov square

Published on 25 Mar 2026 - 12:46

125

Views

Pontryagin square: lifting to an integral cocycle, and an element $H^4 (B^2 \mathbb{Z}_r, \mathbb{Z}_{2r})=$Hom$(\mathbb{Z}_{2r},\mathbb{Z}_{2r})$?

Published on 26 Mar 2026 - 3:08

123

Views

Equivalence of definitions of a vector bundle

Published on 25 Mar 2026 - 14:22

40

Views

problem 4 in Alan Pollak and Guillmin differential topology.

Published on 10 Sep 2018 - 19:46

100

Views

How do I show that this set is dense in the function space?

Published on 26 Mar 2026 - 6:02

90

Views

A difficulty in understanding why there is a problem in the function constructed for Q.1.1.8(c) in Alan Pollack and Guillemin

Published on 12 Sep 2018 - 7:49

239

Views

Clarification on definition of smooth map between smooth manifolds

Published on 26 Mar 2026 - 10:09

937

Views

Linking number and cup product

Published on 26 Mar 2026 - 3:01

List Question

Manifolds with varying (local or global) dimension

Neighbourhood of a point where $(\theta_1)_{t_1} \circ (\theta_2)_{t_2} \circ \cdots \circ (\theta_k)_{t_k}$ is defined

Topology and smooth structure on tangent bundle

Degree of a map and Suspension

Critical values and real-analytic mappings between manifolds

Coorientation of contact structures

$\mathcal{C}^1$-topology of a submanifold with boundary

Sum formulas for Pontrjagin square and Postnikov square

Pontryagin square: lifting to an integral cocycle, and an element $H^4 (B^2 \mathbb{Z}_r, \mathbb{Z}_{2r})=$Hom$(\mathbb{Z}_{2r},\mathbb{Z}_{2r})$?

Equivalence of definitions of a vector bundle

problem 4 in Alan Pollak and Guillmin differential topology.

How do I show that this set is dense in the function space?

A difficulty in understanding why there is a problem in the function constructed for Q.1.1.8(c) in Alan Pollack and Guillemin

Clarification on definition of smooth map between smooth manifolds

Linking number and cup product

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