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geodude
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32 votes
5 answers
5k views

Surprising applications of cohomology

20 votes
1 answer
4k views

How is the metric defined on the real projective space $\mathbb{RP}^n$?

18 votes
4 answers
7k views

University-level books focusing on intuition?

11 votes
2 answers
1k views

What is the most general category in which exist short exact sequences?

10 votes
1 answer
1k views

Non-vanishing differential forms

10 votes
0 answers
790 views

What is the variance of self-information (or surprisal)?

10 votes
3 answers
7k views

Polar decomposition of real matrices

9 votes
1 answer
319 views

"nLab-style" website for Riemannian Geometry and/or Geometric Analysis

8 votes
3 answers
284 views

Is $G$ a semidirect product of $Z(G)$ and $\operatorname{Inn}(G)$?

8 votes
2 answers
883 views

Introductory material for jets and jet bundles

8 votes
1 answer
174 views

Is a finitely additive measure with countably additive marginals countably additive?

7 votes
2 answers
255 views

Exchangeable strictly vs. almost surely

7 votes
1 answer
120 views

Nontrivial bundle in physics

7 votes
1 answer
165 views

Is the topological closure of a transitive relation itself transitive?

7 votes
3 answers
573 views

Inner product of De Rham cohomology classes

6 votes
1 answer
494 views

What is the "opposite" of a forgetful functor?

6 votes
2 answers
604 views

How "far" a differential form is from an exterior product

6 votes
2 answers
2k views

Determinant of Fisher information

6 votes
2 answers
2k views

Is the expectation value Lipschitz for the Wasserstein metric?

6 votes
1 answer
381 views

Graph where edges have group structure

5 votes
1 answer
133 views

Are harmonic functions measurable for the invariant sigma-algebra?

5 votes
0 answers
161 views

Is a quasiconvex function always the monotone image of a convex function?

5 votes
1 answer
83 views

Is the image of a small category small?

5 votes
1 answer
800 views

What is curvature, in terms of holonomy functors?

5 votes
1 answer
1k views

Everything about Legendre transform

5 votes
1 answer
350 views

Lie algebra and Lie group cohomology, reference request

5 votes
2 answers
147 views

What are permutable equivalence relations intuitively?

4 votes
2 answers
56 views

How far a lattice is from distributive/Boolean

4 votes
1 answer
441 views

Where can I found an explanation of group cohomology from the point of view of invariants?

4 votes
1 answer
3k views

Wasserstein distances metrize weak convergence

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