113

Answers

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7

What does a mathematician expect from mathematics education?

9

Connected sum of topological manifolds

4

Is the volume functional contiunuous for compact manifolds with lower bounds on volume?

9

4-dimensional h-cobordisms

6

Are homeomorphic open subsets of $\mathbb{R}^n$ also diffeomorphic?

8

Is it true that the orbit space of a free finite group action on a CW-complex is also a CW-complex?

3

Intuition behind Thom class

5

Are negatively pinched manifold locally conformally flat?

11

Manifold whose universal covering is a sphere but which is not a space form?

8

Closed manifold has no nontrivial totally convex subset?

7

When is a manifold a tangent bundle?

5

Nontrivial examples of non-trivial principal circle bundles

1

A homotopy equivalence between total spaces in a (Hurewicz) fibration which is not a fiber homotopy equivalence

14

representatives of the group of homotopy 7-spheres

1

Reference Request: Relative De Rham Cohomology

1

Euler class in the non-compact case

4

When does the tangent bundle of a manifold admit a flat connection?

5

Example of a manifold which is not a homogeneous space of any Lie group

6

compactness on Weinstein fixed point thm of isometries of positively curved spaces

5

center of fundamental group of finite volume-hyperbolic orbifold

5

Convex hull on a Riemannian manifold

5

Is it possible to make the principal bundle projection map totally geodesic?

8

Lie groups admitting flat (bi)invariant metrics.

3

Groups which satisfy Mal’cev’s theorem (locally residually finite)

6

More four-dimensional counterexamples

6

Algorithm to calculate $Wh(G)$ for finitely presented group $G$?

8

F→E→B bundle with B,E,F hyperbolic: possible?

11

Cite articles or book where I first found the result?

2

Is there a classification of open subsets of euclidean space up to homeomorphism?

28

If a manifold suspends to a sphere…