Question

Integral homology isomorphism induces an isomoprhism on weak homotopy classes of maps into a group like space

score 71 · Answer 1 · 2024-01-27 11:30:21

71

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Integral homology isomorphism induces an isomoprhism on weak homotopy classes of maps into a group like space

Published on 27 Jan 2024 - 11:30

score 12 · Answer 2 · 2026-02-27 05:23:39

12

Views

Conditions for a lift of an arbitrary map to exist along an arbitrary map

Published on 27 Feb 2026 - 5:23

score 4.1k · Answer 3 · 2015-02-06 06:33:02

4.1k

Views

A complex line bundle is trivial if and only if the first Chern class is zero

Published on 06 Feb 2015 - 6:33

score 285 · Answer 4 · 2015-02-06 09:52:05

285

Views

a question on oriented bundles and Euler class

Published on 06 Feb 2015 - 9:52

score 387 · Answer 5 · 2015-02-19 09:45:35

387

Views

Obstruction theory for homotopies

Published on 19 Feb 2015 - 9:45

score 116 · Answer 6 · 2015-03-03 13:40:56

116

Views

Nontrivial obstruction cocycle whose class is trivial

Published on 03 Mar 2015 - 13:40

score 486 · Answer 7 · 2015-03-03 18:45:11

486

Views

Obstruction Theory: extending a map on CW complexes

Published on 03 Mar 2015 - 18:45

score 435 · Answer 8 · 2015-03-27 09:52:40

435

Views

Vector bundle of dimension $\leqslant n$ on $n$-connected space is trivial

Published on 27 Mar 2015 - 9:52

score 236 · Answer 9 · 2015-10-02 15:16:45

236

Views

Well-definedness of first obstruction (to extending a map or homotopy of maps over the skeleta of a CW complex) lying in a nonzero group

Published on 02 Oct 2015 - 15:16

score 123 · Answer 10 · 2026-03-19 16:56:05

123

Views

spin structures on knot complements

Published on 19 Mar 2026 - 16:56

score 270 · Answer 11 · 2016-04-22 17:19:39

270

Views

Obstruction for extending a map along a CW-inclusion: sufficient conditions?

Published on 22 Apr 2016 - 17:19

score 791 · Answer 12 · 2016-04-24 17:54:33

791

Views

Local coefficients involved in the obstruction class for a lift of a map

Published on 24 Apr 2016 - 17:54

score 164 · Answer 13 · 2016-04-27 21:24:08

164

Views

Trivialised sub-bundle of a trivialised bundle and its orthogonal bundle

Published on 27 Apr 2016 - 21:24

score 122 · Answer 14 · 2026-03-23 10:07:53

122

Views

Showing that the Mobius strip is non-orientable using obstruction theory

Published on 23 Mar 2026 - 10:07

score 1.5k · Answer 15 · 2016-05-21 10:21:32

1.5k

Views

Showing that the Hopf fibration is a non-trivial fibre bundle

Published on 21 May 2016 - 10:21

List Question

Integral homology isomorphism induces an isomoprhism on weak homotopy classes of maps into a group like space

Conditions for a lift of an arbitrary map to exist along an arbitrary map

A complex line bundle is trivial if and only if the first Chern class is zero

a question on oriented bundles and Euler class

Obstruction theory for homotopies

Nontrivial obstruction cocycle whose class is trivial

Obstruction Theory: extending a map on CW complexes

Vector bundle of dimension $\leqslant n$ on $n$-connected space is trivial

Well-definedness of first obstruction (to extending a map or homotopy of maps over the skeleta of a CW complex) lying in a nonzero group

spin structures on knot complements

Obstruction for extending a map along a CW-inclusion: sufficient conditions?

Local coefficients involved in the obstruction class for a lift of a map

Trivialised sub-bundle of a trivialised bundle and its orthogonal bundle

Showing that the Mobius strip is non-orientable using obstruction theory

Showing that the Hopf fibration is a non-trivial fibre bundle

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