Question

What is the relation between homology groups of a manifold with boundary and space obtained after removing its boundary?

score 532 · Answer 1 · 2026-03-25 22:05:31

532

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What is the relation between homology groups of a manifold with boundary and space obtained after removing its boundary?

Published on 25 Mar 2026 - 22:05

score 55 · Answer 2 · 2026-03-25 14:34:29

55

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manifold tangent space show existence of one Dimensional manifold

Published on 25 Mar 2026 - 14:34

score 46 · Answer 3 · 2019-08-30 19:55:54

46

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What properties of Euclidean Space are necessary for the theory of smooth manifolds?

Published on 30 Aug 2019 - 19:55

score 139 · Answer 4 · 2026-03-25 09:38:08

139

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Compact Connected Manifolds of dimension $n$

Published on 25 Mar 2026 - 9:38

score 299 · Answer 5 · 2026-03-25 17:37:51

299

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What is the Sobolev space of maps between surfaces?

Published on 25 Mar 2026 - 17:37

score 112 · Answer 6 · 2026-03-25 14:36:41

112

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If $M_1 \subset M_2$ are manifolds and $M_1$ is relatively open in $M_2$, then $\dim(M_1) = \dim(M_2)$

Published on 25 Mar 2026 - 14:36

score 563 · Answer 7 · 2026-03-25 14:20:51

563

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Connected intersection of a manifold and orientation

Published on 25 Mar 2026 - 14:20

score 117 · Answer 8 · 2026-03-25 14:36:49

117

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What happens to the tangent space of a translated submanifold?

Published on 25 Mar 2026 - 14:36

score 292 · Answer 9 · 2026-02-23 02:53:44

292

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Find the envelope of ellipses defined by a difficult function

Published on 23 Feb 2026 - 2:53

score 164 · Answer 10 · 2019-09-04 05:02:05

164

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The first singular cohomology group of double cover

Published on 04 Sep 2019 - 5:02

score 150 · Answer 11 · 2026-03-25 16:01:15

150

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How can I say a function $F:\mathbb{R}^n \longrightarrow \mathbb{R}^m$ $n<m$ is locally homeomorphism?? (Implicit function theorem) !!

Published on 25 Mar 2026 - 16:01

score 95 · Answer 12 · 2026-03-31 15:10:41

95

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Does it make sense to translate a submanifold in a manifold?

Published on 31 Mar 2026 - 15:10

score 129 · Answer 13 · 2019-09-06 01:13:10

129

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How to find the dimension of this manifold?

Published on 06 Sep 2019 - 1:13

score 314 · Answer 14 · 2026-04-01 06:06:10

314

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Examples of simple non-parallelizable smooth manifolds

Published on 01 Apr 2026 - 6:06

score 156 · Answer 15 · 2026-03-25 11:06:32

156

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About (relatively) recent progress in manifold topology and de Rham cohomology

Published on 25 Mar 2026 - 11:06

List Question

What is the relation between homology groups of a manifold with boundary and space obtained after removing its boundary?

manifold tangent space show existence of one Dimensional manifold

What properties of Euclidean Space are necessary for the theory of smooth manifolds?

Compact Connected Manifolds of dimension $n$

What is the Sobolev space of maps between surfaces?

If $M_1 \subset M_2$ are manifolds and $M_1$ is relatively open in $M_2$, then $\dim(M_1) = \dim(M_2)$

Connected intersection of a manifold and orientation

What happens to the tangent space of a translated submanifold?

Find the envelope of ellipses defined by a difficult function

The first singular cohomology group of double cover

How can I say a function $F:\mathbb{R}^n \longrightarrow \mathbb{R}^m$ $n<m$ is locally homeomorphism?? (Implicit function theorem) !!

Does it make sense to translate a submanifold in a manifold?

How to find the dimension of this manifold?

Examples of simple non-parallelizable smooth manifolds

About (relatively) recent progress in manifold topology and de Rham cohomology

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