User mme

69 votes

Accepted

Not all manifolds can be triangulated: In which dimensions?

answered Mar 11, 2017 at 1:40

54 votes

Is SO(4) a subgroup of SU(3)?

answered Nov 16, 2021 at 14:01

40 votes

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Exotic $R^4$ as the universal covering space

answered Oct 13, 2018 at 1:05

25 votes

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Critical dimensions D for "smooth manifolds iff triangulable manifolds"

answered Dec 27, 2018 at 22:49

24 votes

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Manifolds with nonwhere vanishing closed one forms

answered Oct 2, 2019 at 1:43

20 votes

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Calculation of $H^{10}(K(\mathbb{Z}, 3); \mathbb{Z})$

answered Jan 3, 2020 at 23:48

19 votes

What happens to a closed manifold to ensure it is homeomorphic to a torus $T^{n}$?

answered Sep 7, 2021 at 17:52

18 votes

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Is there a closed non-smoothable 4-manifold with zero Euler characteristic?

answered Sep 27, 2018 at 7:12

17 votes

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Are different categories of manifolds non-equivalent (as abstract categories)?

answered Aug 15, 2022 at 12:17

16 votes

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Obstruction of spin-c structure and the generalized Wu manifods

answered Jul 22, 2018 at 21:37

15 votes

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Non-triangulable 4-manifold as a boundary of some 5 manifold

answered Jul 22, 2018 at 11:55

15 votes

Complex structure on $S^4$

answered Aug 29, 2021 at 19:56

14 votes

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How complicated can a finite double complex over a field be?

answered Jul 4, 2019 at 20:45

14 votes

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Is the top Stiefel-Whitney number of a topological manifold the Euler characteristic mod two?

answered Sep 10, 2018 at 19:45

13 votes

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Stably equivalent but not homotopy equivalent

answered Nov 23, 2018 at 23:46

13 votes

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Conversion formula between "generalized" Stiefel-Whitney class of real vector bundles: O(n) and SO(n)

answered Jan 6, 2019 at 21:42

12 votes

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Is the connected sum of a triangulable manifold with a non-triangulable manifold a non-triangulable manifold?

answered Dec 23, 2017 at 14:51

12 votes

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Existence of normal microbundles

answered Dec 7, 2020 at 17:26

12 votes

Is every linear functional on a smooth finite dimensional vector space automatically smooth?

answered Oct 12, 2023 at 22:14

11 votes

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Approximate classifying space by boundaryless manifolds?

answered Apr 1 at 17:48

10 votes

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$\pi_0(G)$ as a subgroup of a Lie group $G$

answered Jan 30, 2020 at 2:52

10 votes

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Topology change induced by small perturbation

answered Sep 26, 2022 at 20:15

10 votes

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Fundamental group of the space of immersions of the 2-sphere in 3-space modulo diffeomorphisms of the first

answered Sep 11, 2015 at 22:15

9 votes

Classifying space of semidirect product of groups

answered Feb 11, 2019 at 0:11

9 votes

Group cohomology with coefficients in a chain complex

answered Feb 15, 2019 at 16:07

9 votes

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Intersection form of $2n$-manifold for odd $n$

answered Sep 12, 2022 at 21:37

8 votes

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Nonvanishing section of infinite-dimensional tautological bundle

answered Mar 26, 2021 at 12:07

8 votes

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Topological Spin manifolds in dimension 4

answered Nov 4, 2019 at 14:04

8 votes

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Fixed point set of smooth circle action

answered Apr 25, 2017 at 5:04

7 votes

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What is the Heegaard Floer Homology of a connect sum of $S^2 \times S^1$s?

answered Apr 20, 2016 at 6:54

Stack Exchange Network

68 Answers

Not all manifolds can be triangulated: In which dimensions?

Is SO(4) a subgroup of SU(3)?

Exotic $R^4$ as the universal covering space

Critical dimensions D for "smooth manifolds iff triangulable manifolds"

Manifolds with nonwhere vanishing closed one forms

Calculation of $H^{10}(K(\mathbb{Z}, 3); \mathbb{Z})$

What happens to a closed manifold to ensure it is homeomorphic to a torus $T^{n}$?

Is there a closed non-smoothable 4-manifold with zero Euler characteristic?

Are different categories of manifolds non-equivalent (as abstract categories)?

Obstruction of spin-c structure and the generalized Wu manifods

Non-triangulable 4-manifold as a boundary of some 5 manifold

Complex structure on $S^4$

How complicated can a finite double complex over a field be?

Is the top Stiefel-Whitney number of a topological manifold the Euler characteristic mod two?

Stably equivalent but not homotopy equivalent

Conversion formula between "generalized" Stiefel-Whitney class of real vector bundles: O(n) and SO(n)

Is the connected sum of a triangulable manifold with a non-triangulable manifold a non-triangulable manifold?

Existence of normal microbundles

Is every linear functional on a smooth finite dimensional vector space automatically smooth?

Approximate classifying space by boundaryless manifolds?

$\pi_0(G)$ as a subgroup of a Lie group $G$

Topology change induced by small perturbation

Fundamental group of the space of immersions of the 2-sphere in 3-space modulo diffeomorphisms of the first

Classifying space of semidirect product of groups

Group cohomology with coefficients in a chain complex

Intersection form of $2n$-manifold for odd $n$

Nonvanishing section of infinite-dimensional tautological bundle

Topological Spin manifolds in dimension 4

Fixed point set of smooth circle action

What is the Heegaard Floer Homology of a connect sum of $S^2 \times S^1$s?