List questions from differential-topology

Published on 03 Oct 2016 - 10:39

248

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Is this map a diffeomorphism?

Published on 03 Oct 2016 - 11:45

1.9k

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The inclusion map is not an embedding?

Published on 04 Oct 2016 - 5:10

379

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How does topology on a space relate to differentiation?

Published on 04 Oct 2016 - 18:24

115

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Let $f: X^{n} \to Y^{n}$ smooth function with $X$ compact $n$-manifold. Show that the set of regular value is open and dense in $Y$.

Published on 04 Oct 2016 - 21:46

787

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Background for Lie Algebra cohomology and de Rham cohomology of compact Lie Groups

Published on 05 Oct 2016 - 9:54

774

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Questions regarding definitions of reduction of structure group of a Principal/Fiber/Vector bundle?

Published on 25 Mar 2026 - 20:36

183

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Does a manifold quotient group action need to be Hausdorff?

Published on 05 Oct 2016 - 21:49

648

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Intuition for the chain homotopy of Poincaré lemma.

Published on 06 Oct 2016 - 22:26

124

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Why Is a Fiber A Vector Space

Published on 30 Mar 2026 - 8:31

28

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Extending maps between surfaces to maps between handlebodies

Published on 29 Mar 2026 - 12:40

210

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Orientation of a manifold and conformal structure

Published on 10 Oct 2016 - 23:18

1.2k

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Embedded submanifold is closed in some open set of total manifold

Published on 11 Oct 2016 - 9:15

836

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Proving that bi invariant forms are closed

Published on 01 Apr 2026 - 19:07

103

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Basis for $T_x \mathbb{R}$

Published on 11 Oct 2016 - 15:52

List Question

Discussion of Poincaré-Bendixson Theorem

Is this map a diffeomorphism?

The inclusion map is not an embedding?

How does topology on a space relate to differentiation?

Let $f: X^{n} \to Y^{n}$ smooth function with $X$ compact $n$-manifold. Show that the set of regular value is open and dense in $Y$.

Background for Lie Algebra cohomology and de Rham cohomology of compact Lie Groups

Questions regarding definitions of reduction of structure group of a Principal/Fiber/Vector bundle?

Does a manifold quotient group action need to be Hausdorff?

Intuition for the chain homotopy of Poincaré lemma.

Why Is a Fiber A Vector Space

Extending maps between surfaces to maps between handlebodies

Orientation of a manifold and conformal structure

Embedded submanifold is closed in some open set of total manifold

Proving that bi invariant forms are closed

Basis for $T_x \mathbb{R}$

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