Question

Making intuition rigorous that integral of some positive function on set should be monotone in the Haar measure of the set

score 60 · Answer 1 · 2020-06-24 23:31:48

60

Views

Making intuition rigorous that integral of some positive function on set should be monotone in the Haar measure of the set

Published on 24 Jun 2020 - 23:31

score 39 · Answer 2 · 2020-06-25 14:09:30

39

Views

Is there an example of reducible compact 3-manifold with boundary that has no embedded incompressible two-sided surface?

Published on 25 Jun 2020 - 14:09

score 151 · Answer 3 · 2020-07-21 00:57:55

151

Views

Uniformization theorem for $C^k$ surfaces?

Published on 21 Jul 2020 - 0:57

score 29 · Answer 4 · 2016-07-12 19:08:51

29

Views

integral constraint induce a manifold on Sobolev space

Published on 12 Jul 2016 - 19:08

score 94 · Answer 5 · 2016-07-13 06:17:25

94

Views

Suppose $M$ has trivial 1-st de Rham cohomology group. For which integers $k$ does there exist a smooth map $f : M → T^n$ of degree $k$?

Published on 13 Jul 2016 - 6:17

score 60 · Answer 6 · 2016-07-28 06:01:54

60

Views

Bounding a Sobolev norm on product manifold

Published on 28 Jul 2016 - 6:01

score 148 · Answer 7 · 2016-08-22 13:49:59

148

Views

relationship between $f_\pi:\pi_1(M)\to \pi_1(N)$ and $\deg(f)$

Published on 22 Aug 2016 - 13:49

score 562 · Answer 8 · 2016-08-31 09:19:16

562

Views

Homotopy type of manifolds homeomorphic to the interior of a compact manifold with boundary

Published on 31 Aug 2016 - 9:19

score 88 · Answer 9 · 2016-09-22 15:58:45

88

Views

Necessity of compactness of manifolds $M,N$ for smooth approximation of $W^{1,p}(M,N)$.

Published on 22 Sep 2016 - 15:58

score 3.4k · Answer 10 · 2016-10-04 04:12:30

3.4k

Views

Show that injective immersion of a compact manifold is an embedding

Published on 04 Oct 2016 - 4:12

score 38 · Answer 11 · 2016-10-06 19:32:01

38

Views

Menger compacta and topological joins

Published on 06 Oct 2016 - 19:32

score 706 · Answer 12 · 2016-10-16 21:54:29

706

Views

compact manifold is complete

Published on 16 Oct 2016 - 21:54

score 428 · Answer 13 · 2016-11-02 18:14:45

428

Views

On Poincaré duality and the universal coefficient theorem

Published on 02 Nov 2016 - 18:14

score 95 · Answer 14 · 2016-11-16 14:46:34

95

Views

Can a group G generated by $k$ elements act properly discontinuously freely and cocompactly on $\mathbb{R}^n$, for $n > k$

Published on 16 Nov 2016 - 14:46

score 433 · Answer 15 · 2026-03-22 03:32:40

433

Views

Is the boundary of every 2-manifold the disjoint union of circles?

Published on 22 Mar 2026 - 3:32

List Question

Making intuition rigorous that integral of some positive function on set should be monotone in the Haar measure of the set

Is there an example of reducible compact 3-manifold with boundary that has no embedded incompressible two-sided surface?

Uniformization theorem for $C^k$ surfaces?

integral constraint induce a manifold on Sobolev space

Suppose $M$ has trivial 1-st de Rham cohomology group. For which integers $k$ does there exist a smooth map $f : M → T^n$ of degree $k$?

Bounding a Sobolev norm on product manifold

relationship between $f_\pi:\pi_1(M)\to \pi_1(N)$ and $\deg(f)$

Homotopy type of manifolds homeomorphic to the interior of a compact manifold with boundary

Necessity of compactness of manifolds $M,N$ for smooth approximation of $W^{1,p}(M,N)$.

Show that injective immersion of a compact manifold is an embedding

Menger compacta and topological joins

compact manifold is complete

On Poincaré duality and the universal coefficient theorem

Can a group G generated by $k$ elements act properly discontinuously freely and cocompactly on $\mathbb{R}^n$, for $n > k$

Is the boundary of every 2-manifold the disjoint union of circles?

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