List questions from algebraic-topology

Published on 21 Dec 2018 - 2:52

912

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Is Projective space minus a point really homeomorphic to vector space?

Published on 21 Dec 2018 - 9:30

548

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Curves on surfaces lifting to embedded curves in finite covers

Published on 26 Mar 2026 - 1:10

205

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Subspaces of euclidean spaces with finite nontrivial homotopy groups

Published on 21 Dec 2018 - 22:38

154

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deducing standard Brouwer fixed point theorem

Published on 21 Dec 2018 - 23:15

58

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Acyclic compact Lie groups of dimension 3

Published on 29 Mar 2026 - 5:11

321

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Degree shift operation when constructing chain complexes of the Khovanov Homology

Published on 25 Mar 2026 - 7:48

472

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$\mathbb{R}\cong X\times Y$ (homeomorphic) implies $X$ or $Y$ is a point.

Published on 22 Dec 2018 - 3:30

69

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DG-Modules over CDG-algebras in the sense of rational homotopy theory.

Published on 02 Apr 2026 - 0:07

258

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Computing $\Omega_1^{\text{Spin}}\cong \Bbb Z_2$

Published on 25 Mar 2026 - 16:06

1k

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Using Algebraic Topology, show that $M \times N$ is orientable if and only if $M$ and $N$ are both orientable.

Published on 22 Dec 2018 - 17:15

1.2k

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Reduced homology of a point is trivial from axioms

Published on 25 Mar 2026 - 20:35

190

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Homology of subset of orbit space

Published on 26 Mar 2026 - 12:36

110

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Random simplicial complexes and materials

Published on 22 Dec 2018 - 20:17

116

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Existence of a type of simplicial complex

Published on 25 Mar 2026 - 20:11

List Question

Some questions about specific topological embeddings

Is Projective space minus a point really homeomorphic to vector space?

Curves on surfaces lifting to embedded curves in finite covers

Subspaces of euclidean spaces with finite nontrivial homotopy groups

deducing standard Brouwer fixed point theorem

Acyclic compact Lie groups of dimension 3

Degree shift operation when constructing chain complexes of the Khovanov Homology

$\mathbb{R}\cong X\times Y$ (homeomorphic) implies $X$ or $Y$ is a point.

DG-Modules over CDG-algebras in the sense of rational homotopy theory.

Computing $\Omega_1^{\text{Spin}}\cong \Bbb Z_2$

Using Algebraic Topology, show that $M \times N$ is orientable if and only if $M$ and $N$ are both orientable.

Reduced homology of a point is trivial from axioms

Homology of subset of orbit space

Random simplicial complexes and materials

Existence of a type of simplicial complex

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