List questions from differential-topology

Published on 11 May 2026 - 5:30

110

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The set of pseudo-gradient vector fields with the Smale property and a given set of trajectories is open (Proposition 3.4.3 in Audin-Damian)

Published on 11 May 2026 - 5:33

235

Views

Is the image of a smooth homeomorphism diffeomorphic to the domain?

Published on 13 Apr 2026 - 8:16

46

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why does $ f| int(D)$ have only finitely many intersections with the knot?

Published on 25 Mar 2026 - 19:10

63

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why $\overline{f_{q'}} \circ \overline{g_{q}}(q(x))= q'\circ f \circ g(x)$ and $\overline{g_{q}} \circ \overline{f_{q'}}(q(y))= q\circ g \circ f(y)?$

Published on 17 Apr 2026 - 12:44

1.2k

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Math needed to understand hodge star operator

Published on 09 Apr 2026 - 7:44

573

Views

When is an $n$-form on $\mathbb S^n$ exact?

Published on 23 Apr 2026 - 12:02

56

Views

Differential forms and proper subrings

Published on 14 Apr 2026 - 17:38

48

Views

Metric on contact 3 manifolds

Published on 15 May 2026 - 0:47

80

Views

Proof that a principal bundle is determined by transition maps

Published on 16 May 2026 - 16:40

53

Views

Lifting ${\rm SO}(D)$ to ${\rm Spin}(D)$ smoothly

Published on 16 Apr 2026 - 21:48

230

Views

Full cover $SU(n)$ Lie group globally from the exponential map of local Lie algebra (with appropriate representation)

Published on 14 Apr 2026 - 4:52

231

Views

complex Lie groups, real Lie groups, and forgetful functors

Published on 14 Apr 2026 - 8:11

99

Views

Relation between the $SU(8)$, $U(8)$, and $Spin(8)$

Published on 15 Apr 2026 - 15:31

99

Views

Request for reference for currents

Published on 16 Apr 2026 - 14:52

List Question

Transversality Condition and the Proof of Smale Theorem (Audin-Damian), Lemma 2.2.8 (Part 2)

The set of pseudo-gradient vector fields with the Smale property and a given set of trajectories is open (Proposition 3.4.3 in Audin-Damian)

Is the image of a smooth homeomorphism diffeomorphic to the domain?

why does $ f| int(D)$ have only finitely many intersections with the knot?

why $\overline{f_{q'}} \circ \overline{g_{q}}(q(x))= q'\circ f \circ g(x)$ and $\overline{g_{q}} \circ \overline{f_{q'}}(q(y))= q\circ g \circ f(y)?$

Math needed to understand hodge star operator

When is an $n$-form on $\mathbb S^n$ exact?

Differential forms and proper subrings

Metric on contact 3 manifolds

Proof that a principal bundle is determined by transition maps

Lifting ${\rm SO}(D)$ to ${\rm Spin}(D)$ smoothly

Full cover $SU(n)$ Lie group globally from the exponential map of local Lie algebra (with appropriate representation)

complex Lie groups, real Lie groups, and forgetful functors

Relation between the $SU(8)$, $U(8)$, and $Spin(8)$

Request for reference for currents

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