List questions from characteristic-classes

Published on 07 Mar 2026 - 11:03

380

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triviality of vector bundles with the reduced homology of base space entirely torsion

Published on 06 Nov 2015 - 3:11

69

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Is multiplication by a Stiefel-Whitney class an injective map?

Published on 17 Nov 2015 - 0:31

58

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Additive cohomology of BO(k)

Published on 17 Nov 2015 - 22:17

398

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Computing Stiefel Whitney classes

Published on 23 Mar 2026 - 3:51

480

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Chern Classes via Grassmannians

Published on 22 Mar 2026 - 10:29

361

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Exists homeomorphism which carries each fiber isomorphically to itself, composition?

Published on 25 Feb 2026 - 17:17

142

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Set consisting of all unoriented cobordism classes of smooth closed $n$-manifolds can be made into additive group?

Published on 03 Mar 2026 - 19:11

771

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Why doesn't this construction of Chern classes generalize to real bundles?

Published on 10 Mar 2026 - 22:44

610

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Is Hatcher's proof of thom isomorphism theorem flawed?: I don't believe that $H^n(E,E_0)\cong H^n(R^n,R^n-0)$

Published on 21 Jan 2016 - 14:23

442

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How is this "Stiefel manifold"-like fiber bundle called? How to characterize it?

Published on 22 Jan 2016 - 17:18

266

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If $\mathbb{RP}^n$ can be immersed in $\mathbb{R}^{n+1}$, how do I see that $n$ must be of the form $2^r - 1$ or $2^r - 2$?

Published on 23 Jan 2016 - 19:28

63

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Cohomology of a classifying space

Published on 02 Feb 2016 - 17:50

207

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Bott and Tu construction of chern classes

Published on 05 Feb 2016 - 4:46

185

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Is $[N]^\#([N])$ congruent to $w_n(\nu_N)([N])$ mod $2$, where $\nu_N$ is the normal bundle of the embedding of $N$ in $M$?

Published on 05 Feb 2016 - 17:47

List Question

Construction of Grassmann manifolds

triviality of vector bundles with the reduced homology of base space entirely torsion

Is multiplication by a Stiefel-Whitney class an injective map?

Additive cohomology of BO(k)

Computing Stiefel Whitney classes

Chern Classes via Grassmannians

Exists homeomorphism which carries each fiber isomorphically to itself, composition?

Set consisting of all unoriented cobordism classes of smooth closed $n$-manifolds can be made into additive group?

Why doesn't this construction of Chern classes generalize to real bundles?

Is Hatcher's proof of thom isomorphism theorem flawed?: I don't believe that $H^n(E,E_0)\cong H^n(R^n,R^n-0)$

How is this "Stiefel manifold"-like fiber bundle called? How to characterize it?

If $\mathbb{RP}^n$ can be immersed in $\mathbb{R}^{n+1}$, how do I see that $n$ must be of the form $2^r - 1$ or $2^r - 2$?

Cohomology of a classifying space

Bott and Tu construction of chern classes

Is $[N]^\#([N])$ congruent to $w_n(\nu_N)([N])$ mod $2$, where $\nu_N$ is the normal bundle of the embedding of $N$ in $M$?

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