List questions from algebraic-topology

Published on 25 Mar 2026 - 6:11

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Homotopy class of almost complex structures

Published on 26 Mar 2026 - 1:00

741

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About the covering spaces of comb space.

Published on 20 May 2018 - 0:35

134

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$\int_H c_1 (\mathcal O_{\mathbb P^2(k)}|_H)$, integral of restriction of Chern class to a projective hypersurface

Published on 25 Mar 2026 - 6:13

154

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There is no self map of $\mathbb{C}P^2\times\mathbb{C}P^2$ of degree $-1$.

Published on 20 May 2018 - 20:06

1k

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Path-lifting property: function space interpretation

Published on 25 Mar 2026 - 11:08

190

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Eilenberg–MacLane space for explicit group examples

Published on 20 Mar 2026 - 0:47

36

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How many torus can I find as a subgraph of a complete graph?

Published on 30 Mar 2026 - 17:49

279

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When is the restriction of a fibration to a subspace a fibration?

Published on 22 Mar 2026 - 16:25

2k

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Hatcher 1.3.9 $\pi_1(X)$ finite then every map $X\rightarrow S^1$ is nullhomotopic.

Published on 26 Mar 2026 - 8:00

150

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Explicit homotopy equivalence between pairs

Published on 25 Mar 2026 - 11:00

35

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Finiteness in the universal coefficient theorem for cohomology

Published on 21 May 2018 - 14:29

1.1k

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De Rham cohomology of punctured manifold

Published on 25 Mar 2026 - 23:27

90

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Prove that $(g ◦ f)_∗ = g_∗ ◦ f_∗ : H_∗(C_∗) → H_∗(E_∗)$. Also show that $(Id_{C_∗})_∗ = Id_{H∗(C∗)}: H_∗(C_∗) → H_∗(C_∗)$.

Published on 29 Mar 2026 - 20:21

368

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Homotopy Fibers of homotopy equivalence.

Published on 22 May 2018 - 9:59

List Question

Orientability of an n dimensional manifold

Homotopy class of almost complex structures

About the covering spaces of comb space.

$\int_H c_1 (\mathcal O_{\mathbb P^2(k)}|_H)$, integral of restriction of Chern class to a projective hypersurface

There is no self map of $\mathbb{C}P^2\times\mathbb{C}P^2$ of degree $-1$.

Path-lifting property: function space interpretation

Eilenberg–MacLane space for explicit group examples

How many torus can I find as a subgraph of a complete graph?

When is the restriction of a fibration to a subspace a fibration?

Hatcher 1.3.9 $\pi_1(X)$ finite then every map $X\rightarrow S^1$ is nullhomotopic.

Explicit homotopy equivalence between pairs

Finiteness in the universal coefficient theorem for cohomology

De Rham cohomology of punctured manifold

Prove that $(g ◦ f)_∗ = g_∗ ◦ f_∗ : H_∗(C_∗) → H_∗(E_∗)$. Also show that $(Id_{C_∗})_∗ = Id_{H∗(C∗)}: H_∗(C_∗) → H_∗(C_∗)$.

Homotopy Fibers of homotopy equivalence.

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