List questions from geometric-topology

Published on 30 Mar 2026 - 10:16

604

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Punctured torus with antipodal boundary points identified

Published on 16 Nov 2020 - 8:06

293

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Haken's Algorithm for Unknot Recognition

Published on 27 Mar 2026 - 23:12

106

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What is the homotopy type of $S^3 \times S^3$ - 4 points?

Published on 17 Nov 2020 - 10:07

35

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Are there conventional $(\leqslant n-2)$ measures of an n-dimensional ball in $\mathbb{R}^n$?

Published on 01 Apr 2026 - 14:24

160

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Cutting a torus along a surface non-separating cycle

Published on 18 Nov 2020 - 11:21

77

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What does the loop integral of geodesic curvature intuitively mean in the absence of a surface normal?

Published on 25 Mar 2026 - 19:51

57

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Existence of a homeomorphism on ambient space mapping submanifolds

Published on 21 Nov 2020 - 15:37

114

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Homotopy coincides with isotopy in dimension two

Published on 25 Mar 2026 - 12:53

324

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Is the image of a continuous functions always a topological manifold

Published on 22 Nov 2020 - 9:22

63

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How to characterize generic unorientable manifolds?

Published on 22 Nov 2020 - 23:38

190

Views

Higher homotopy of knot theory space

Published on 30 Mar 2026 - 10:11

71

Views

Decomposition of a topological manifold into sets with low-dimensional intersections

Published on 25 Nov 2020 - 20:12

135

Views

$\mathbf{Z}_2$-oriented vs $\mathbf{Z}_2$- orientable?

Published on 26 Nov 2020 - 18:40

41

Views

Quadratic enhancements of the intersection form and spin structures

Published on 26 Mar 2026 - 4:31

List Question

What mathematics is behind those metal knot puzzles/brainteasers?

Punctured torus with antipodal boundary points identified

Haken's Algorithm for Unknot Recognition

What is the homotopy type of $S^3 \times S^3$ - 4 points?

Are there conventional $(\leqslant n-2)$ measures of an n-dimensional ball in $\mathbb{R}^n$?

Cutting a torus along a surface non-separating cycle

What does the loop integral of geodesic curvature intuitively mean in the absence of a surface normal?

Existence of a homeomorphism on ambient space mapping submanifolds

Homotopy coincides with isotopy in dimension two

Is the image of a continuous functions always a topological manifold

How to characterize generic unorientable manifolds?

Higher homotopy of knot theory space

Decomposition of a topological manifold into sets with low-dimensional intersections

$\mathbf{Z}_2$-oriented vs $\mathbf{Z}_2$- orientable?

Quadratic enhancements of the intersection form and spin structures

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