User ychemama

17 votes

6 answers

1k views

Is the concept of a "numerable" fiber bundle really useful or an empty generalization?

asked Mar 28, 2019 at 9:50

13 votes

1 answer

702 views

Counterexample showing that G-invariant de Rham cohomology different from cohomology of G-invariant sub-complex?

asked Mar 11, 2018 at 12:58

12 votes

2 answers

799 views

Is a topological fiber-bundle, whose total space admits a retraction onto a fiber, trivial?

asked Sep 22, 2017 at 12:22

8 votes

1 answer

318 views

Tietze's extension theorem for contractible manifolds

asked Jun 2, 2017 at 16:47

7 votes

1 answer

745 views

Are topological fiber bundles on the same base with homeomorphic fibers isomorphic?

asked Sep 11, 2017 at 9:25

7 votes

1 answer

1k views

What is the scope of validity of Kunneth formula for de Rham?

asked Apr 4, 2018 at 15:07

6 votes

3 answers

989 views

Why torsion is only defined for linear connection on TM?

asked Jun 22, 2018 at 10:22

5 votes

1 answer

523 views

Godbillon's proof of strong excision in de Rham cohomology with compact support

asked Feb 13, 2018 at 16:45

5 votes

0 answers

406 views

Complete proof of Homotopy invariance of a numerable fiber bundle based on CHP

asked Sep 23, 2017 at 16:36

4 votes

1 answer

698 views

Relative de rham cohomology with compact support

asked Feb 10, 2018 at 16:08

4 votes

1 answer

264 views

Fiber-bundle : continuity of transition maps and inverse in general

asked Jan 22, 2019 at 10:43

3 votes

1 answer

236 views

Locally trivial fibration over a suspension

asked Mar 18, 2019 at 11:40

3 votes

0 answers

437 views

Connection and reduction of the structure group

asked May 30, 2015 at 17:52

3 votes

1 answer

343 views

Serre and Hurewicz fibrations definition for pointed spaces?

asked May 22, 2019 at 10:57

3 votes

1 answer

109 views

What is this cochain complex about, whose $H^1 = \mathbb{R}$?

asked Feb 23, 2023 at 11:52

3 votes

1 answer

284 views

Frame bundle of $\mathbb{C}P^n$ as homogeneous space

asked Apr 21, 2023 at 18:53

2 votes

1 answer

196 views

Is there a Whitney's approximation theorem for applications of pairs?

asked Feb 19, 2018 at 10:39

2 votes

1 answer

722 views

Connection 1-form of the frame bundle associated to a vector bundle with a connection

asked May 28, 2018 at 19:19

2 votes

1 answer

420 views

Classifying spaces and Brown's representability theorem

asked Nov 8, 2017 at 11:16

1 vote

1 answer

156 views

Does exponential law bijective implies evaluation map continuous?

asked Jan 30, 2019 at 11:21

0 votes

1 answer

591 views

Invariance of de Rham cohomology with compact support

asked Jan 28, 2018 at 15:57

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21 Questions

Is the concept of a "numerable" fiber bundle really useful or an empty generalization?

Counterexample showing that G-invariant de Rham cohomology different from cohomology of G-invariant sub-complex?

Is a topological fiber-bundle, whose total space admits a retraction onto a fiber, trivial?

Tietze's extension theorem for contractible manifolds

Are topological fiber bundles on the same base with homeomorphic fibers isomorphic?

What is the scope of validity of Kunneth formula for de Rham?

Why torsion is only defined for linear connection on TM?

Godbillon's proof of strong excision in de Rham cohomology with compact support

Complete proof of Homotopy invariance of a numerable fiber bundle based on CHP

Relative de rham cohomology with compact support

Fiber-bundle : continuity of transition maps and inverse in general

Locally trivial fibration over a suspension

Connection and reduction of the structure group

Serre and Hurewicz fibrations definition for pointed spaces?

What is this cochain complex about, whose $H^1 = \mathbb{R}$?

Frame bundle of $\mathbb{C}P^n$ as homogeneous space

Is there a Whitney's approximation theorem for applications of pairs?

Connection 1-form of the frame bundle associated to a vector bundle with a connection

Classifying spaces and Brown's representability theorem

Does exponential law bijective implies evaluation map continuous?

Invariance of de Rham cohomology with compact support