List questions from algebraic-topology

Published on 10 Apr 2026 - 15:34

330

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Fundemental group of $S^2$ with equator is identified $z \sim z^3$

Published on 26 Mar 2019 - 18:23

27

Views

Proof of that two liftings of a function are equivalent

Published on 11 Apr 2026 - 8:19

68

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recovering the information of the vertices from a simplex

Published on 25 Mar 2026 - 17:39

1k

Views

Universal covering of $n$ punctured 2-sphere

Published on 25 Mar 2026 - 20:42

71

Views

Real plane with two holes and circumference are not homotopy equivalent

Published on 11 Apr 2026 - 0:20

336

Views

Triviality of complexified tangent bundle of a closed surface

Published on 25 Mar 2026 - 16:08

78

Views

Classifying Map $p_{n,m}:BO(n) \times BO(m) \to BO(n+m)$

Published on 26 Mar 2026 - 21:09

188

Views

Dual Stiefel-Whitney class $\overline{w}_{n-1}$ vanishes if $n$ is not a power of 2

Published on 25 Mar 2026 - 12:50

4.3k

Views

Does every short exact sequence split?

Published on 11 Apr 2026 - 8:23

82

Views

If matching maps of a cosimplicial space are fibrations up to degree $n$, does the $n$-th partial totalization have the 'correct' homotopy type?

Published on 26 Mar 2026 - 17:33

180

Views

What is "top homology"?

Published on 09 Apr 2026 - 6:09

241

Views

Geometric Realization with Cyclic Fundamental Group of Order $n$

Published on 11 Apr 2026 - 21:53

1.1k

Views

Why is this map $S^2\to S^1$ nullhomotopic?

Published on 26 Mar 2026 - 14:29

415

Views

Monodromy when fiber is connected

Published on 11 Apr 2026 - 9:51

List Question

Systematic approach to triangulation closed combinatorial surfaces

Fundemental group of $S^2$ with equator is identified $z \sim z^3$

Proof of that two liftings of a function are equivalent

recovering the information of the vertices from a simplex

Universal covering of $n$ punctured 2-sphere

Real plane with two holes and circumference are not homotopy equivalent

Triviality of complexified tangent bundle of a closed surface

Classifying Map $p_{n,m}:BO(n) \times BO(m) \to BO(n+m)$

Dual Stiefel-Whitney class $\overline{w}_{n-1}$ vanishes if $n$ is not a power of 2

Does every short exact sequence split?

If matching maps of a cosimplicial space are fibrations up to degree $n$, does the $n$-th partial totalization have the 'correct' homotopy type?

What is "top homology"?

Geometric Realization with Cyclic Fundamental Group of Order $n$

Why is this map $S^2\to S^1$ nullhomotopic?

Monodromy when fiber is connected

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