Thomas Rot's user avatar
Thomas Rot's user avatar
Thomas Rot's user avatar
Thomas Rot
  • Member for 13 years, 1 month
  • Last seen this week
50 votes

What is a Lie Group in layman's terms?

44 votes
Accepted

Difference between bijection and isomorphism?

15 votes

Can someone explain the Yoneda Lemma to an applied mathematician?

14 votes

Problems that differential geometry solves

14 votes
Accepted

Definition of a Morse function.

14 votes
Accepted

Do oriented null cobordant manifolds admit spin structures?

12 votes
Accepted

Real Projective Plane is Same as Identifying Antipodal Boundary Points of The $2$-Disc.

11 votes
Accepted

Cup product in Morse cohomology

11 votes
Accepted

Is it possible to formulate variational calculus geometrically?

11 votes

How to find the inverse modulo $m$?

10 votes

Can I comb unoriented hair on a ball?

9 votes
Accepted

Fundamental Group of a finite set with discrete topology

9 votes

A proof of compactness, connectedness of real projective space

8 votes
Accepted

cohomology ring of $S^2$ $\times$ $S^4$ and $CP^3$.

8 votes
Accepted

When are homology groups the trivial group?

8 votes

Why does the space of SPD matrices form a differentiable manifold?

8 votes
Accepted

What is Bordism good for?

7 votes

Motivation for local cohomology and local homotopy theories in Algebraic topology.

7 votes

How does one introduce characteristic classes

7 votes

Non-numerical vector space examples

7 votes

How to show the intersection of arbitrary compact sets is compact in a general metric space?

7 votes

What is the correct way of disproving a mathematical statement?

6 votes
Accepted

Prove Poincare duality theorem with Morse theory.

6 votes
Accepted

Is there any geometrical intuition for the Hurewicz theorem?

6 votes
Accepted

Why is it important to have a classifying space for principal $G$-bundles over a based space $X$?

5 votes

If a two variable smooth function has two global minima, will it necessarily have a third critical point?

5 votes
Accepted

Surjectivity of a continuous map implies surjectivity on $\pi_1$

5 votes
Accepted

Is SO(n) a deformation retract of SO(n+1) for $n\ge 3$?

5 votes

Topological structure of the dunce hat

5 votes

Does there always exist a continuous/smooth map from $\mathbb{R}^n$ onto a manifold $M^n$?

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