List questions from low-dimensional-topology

Published on 12 Jul 2017 - 23:51

527

Views

Restrictions on homology for compact orientable 3-manifolds

Published on 24 Jul 2017 - 2:30

77

Views

Is a non-geometrically essential knot in a standard solid torus in $\mathbb{R}^3$ trivial?

Published on 26 Mar 2026 - 16:26

259

Views

First homology group of the complement of a twisted circle in 3-space

Published on 26 Mar 2026 - 14:34

158

Views

Covering Dimension of a Subset of the Plane

Published on 23 Feb 2026 - 1:06

1.2k

Views

Intuitive explanation of topological genus?

Published on 06 Aug 2017 - 4:11

58

Views

Is a map from a closed surface to 3-space differentiable at the pre-image of a branch point?

Published on 07 Aug 2017 - 8:01

674

Views

Non-orientable cover of a non-orientable surface

Published on 25 Mar 2026 - 23:37

392

Views

Is there a dual graph of a 3D tessellation suitable for modeling packed cells in a biological tissue?

Published on 26 Mar 2026 - 17:53

246

Views

Fundamental group generators of null homology manifolds

Published on 24 Aug 2017 - 16:58

202

Views

Homeomorphism from $S^2 \times S^2$ to a subset of $\mathbb{R}^5$

Published on 04 Sep 2017 - 12:49

797

Views

Klein Bottle self intersecting in $\mathbb{R^3}$ and not in $\mathbb{R^4}$

Published on 25 Mar 2026 - 20:35

405

Views

In what kind of space does this object live?

Published on 22 Sep 2017 - 18:15

753

Views

How to use Reidemeister moves to show the two representations are the same?

Published on 24 Sep 2017 - 2:03

854

Views

What are some applications of these specific pure math areas?

Published on 26 Mar 2026 - 11:00

List Question

Need help in proving the classification theorem for 1-manifolds.

Restrictions on homology for compact orientable 3-manifolds

Is a non-geometrically essential knot in a standard solid torus in $\mathbb{R}^3$ trivial?

First homology group of the complement of a twisted circle in 3-space

Covering Dimension of a Subset of the Plane

Intuitive explanation of topological genus?

Is a map from a closed surface to 3-space differentiable at the pre-image of a branch point?

Non-orientable cover of a non-orientable surface

Is there a dual graph of a 3D tessellation suitable for modeling packed cells in a biological tissue?

Fundamental group generators of null homology manifolds

Homeomorphism from $S^2 \times S^2$ to a subset of $\mathbb{R}^5$

Klein Bottle self intersecting in $\mathbb{R^3}$ and not in $\mathbb{R^4}$

In what kind of space does this object live?

How to use Reidemeister moves to show the two representations are the same?

What are some applications of these specific pure math areas?

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