List questions from differential-topology

Published on 25 Mar 2026 - 7:56

61

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manifolds and curved spaces

Published on 11 May 2019 - 11:55

148

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Constructing a smooth function such that the measure of critical points of $f$ is a given positive real number $x$.

Published on 11 May 2019 - 18:08

340

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Embedding of exotic manifold

Published on 11 May 2019 - 19:18

100

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tangent bundle that isn't diffeomorphic to the Cartesian product

Published on 25 Mar 2026 - 3:01

182

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Does the metric uniquely specifies the topology?

Published on 12 May 2019 - 19:22

670

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Show that the height function on a sphere has 2 critical points

Published on 12 May 2019 - 21:25

681

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Orientation of Intersection of Manifolds

Published on 14 May 2019 - 2:03

633

Views

How restrictive is it for a symplectic form to represent an integral cohomology class?

Published on 26 Mar 2026 - 9:17

722

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Show that every smooth map from $S^n\to T^n$ has degree 0.

Published on 26 Mar 2026 - 14:42

193

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Getting acquainted with preimage orientation

Published on 15 May 2019 - 1:31

1.1k

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Milnor's proof that a smooth manifold has the homotopy type of a CW complex

Published on 25 Mar 2026 - 9:43

354

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How to find basis of a de Rham Cohomology group?

Published on 15 May 2019 - 8:39

401

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Whether $\Bbb{R}^3\setminus \{0\}$ and $\Bbb{R}^3 \setminus \{0,1 \}$ are homeomorphic or not?

Published on 15 May 2019 - 10:57

124

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$\mathcal{C}^r$ topology in the germ space.

Published on 30 Mar 2026 - 0:50

List Question

Notation Atiyah-Singer Index theorem

manifolds and curved spaces

Constructing a smooth function such that the measure of critical points of $f$ is a given positive real number $x$.

Embedding of exotic manifold

tangent bundle that isn't diffeomorphic to the Cartesian product

Does the metric uniquely specifies the topology?

Show that the height function on a sphere has 2 critical points

Orientation of Intersection of Manifolds

How restrictive is it for a symplectic form to represent an integral cohomology class?

Show that every smooth map from $S^n\to T^n$ has degree 0.

Getting acquainted with preimage orientation

Milnor's proof that a smooth manifold has the homotopy type of a CW complex

How to find basis of a de Rham Cohomology group?

Whether $\Bbb{R}^3\setminus \{0\}$ and $\Bbb{R}^3 \setminus \{0,1 \}$ are homeomorphic or not?

$\mathcal{C}^r$ topology in the germ space.

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