List questions from differential-topology

Published on 13 Apr 2026 - 6:55

150

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Non-existence of local inverse for smooth map $S^3 \rightarrow \mathbb{R}^3$.

Published on 13 Apr 2026 - 22:54

164

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An intutive proof of 'replacing two-caps by a handle'

Published on 25 Mar 2026 - 8:09

422

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Intersection form on $S^2 \tilde \times S^2$

Published on 15 Apr 2026 - 8:31

215

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Symplectic geometry spectrum

Published on 11 Apr 2026 - 23:41

1.3k

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Finite universal covering induces injective maps on cohomology

Published on 15 Apr 2026 - 3:18

190

Views

Dimension of the $0^{\text{th}}$ de Rham cohomology group of $U$

Published on 15 Apr 2026 - 5:41

245

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Exterior derivative

Published on 29 Mar 2026 - 9:10

728

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Basic examples topological manifolds with boundary

Published on 27 Mar 2026 - 1:13

324

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How can a Kirby diagram fail to determine a handle decomposition?

Published on 22 Apr 2026 - 15:28

120

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isotopy equivalence between manifolds

Published on 09 Apr 2026 - 17:07

801

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Exhibit a smooth map $f : \mathbb{R} \to \mathbb{R}$ whose set of critical values is dense.

Published on 13 Apr 2026 - 17:14

527

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Smooth maps preserve dimension

Published on 17 Apr 2026 - 3:59

368

Views

Do analytic functions on open subsets of $\mathbb{C}$ with an analytic square root form a sheaf?

Published on 13 Apr 2026 - 4:49

980

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Adjoint representation is Lie algebra homomorphism

Published on 15 Apr 2026 - 8:08

List Question

Curve shortening flow and strong maximum principle

Non-existence of local inverse for smooth map $S^3 \rightarrow \mathbb{R}^3$.

An intutive proof of 'replacing two-caps by a handle'

Intersection form on $S^2 \tilde \times S^2$

Symplectic geometry spectrum

Finite universal covering induces injective maps on cohomology

Dimension of the $0^{\text{th}}$ de Rham cohomology group of $U$

Exterior derivative

Basic examples topological manifolds with boundary

How can a Kirby diagram fail to determine a handle decomposition?

isotopy equivalence between manifolds

Exhibit a smooth map $f : \mathbb{R} \to \mathbb{R}$ whose set of critical values is dense.

Smooth maps preserve dimension

Do analytic functions on open subsets of $\mathbb{C}$ with an analytic square root form a sheaf?

Adjoint representation is Lie algebra homomorphism

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