Question

Let $G$ a simple connected topological group and $H$ a normal discrete subgroup, then $\pi_1(G/H,e) = H.$

score 337 · Answer 1 · 2016-07-18 17:13:07

337

Views

Let $G$ a simple connected topological group and $H$ a normal discrete subgroup, then $\pi_1(G/H,e) = H.$

Published on 18 Jul 2016 - 17:13

score 677 · Answer 2 · 2026-03-26 17:28:44

677

Views

Free groups and words

Published on 26 Mar 2026 - 17:28

score 270 · Answer 3 · 2026-03-27 18:00:03

270

Views

An exact sequence of compact topological groups.

Published on 27 Mar 2026 - 18:00

score 24 · Answer 4 · 2016-07-19 12:28:43

24

Views

Reference request for "isomorphism upto compact kernel /cokernel “

Published on 19 Jul 2016 - 12:28

score 467 · Answer 5 · 2016-07-21 19:58:38

467

Views

Is there a topology such that $(\Bbb R, +, \mathcal T)$ is a compact Hausdorff topological group?

Published on 21 Jul 2016 - 19:58

score 180 · Answer 6 · 2026-03-25 11:14:56

180

Views

A quick proof that any compact Hausdorff abelian group of finite exponent is profinite

Published on 25 Mar 2026 - 11:14

score 219 · Answer 7 · 2016-07-25 19:39:53

219

Views

Is there a contractible space with a free circle action?

Published on 25 Jul 2016 - 19:39

score 78 · Answer 8 · 2026-03-26 14:20:58

78

Views

How is $\{\mu (U): A^{-1} \subset U, U \text{ is open}\}=\{ \mu (U^{-1}): A \subset U, U \text{ is open}\}$?

Published on 26 Mar 2026 - 14:20

score 159 · Answer 9 · 2016-08-03 16:31:33

159

Views

Example of topological group with an uncountable fundamental system of neighborhoods of zero

Published on 03 Aug 2016 - 16:31

score 1k · Answer 10 · 2026-03-26 14:25:17

1k

Views

For which topological measure spaces do open sets always have positive measure?

Published on 26 Mar 2026 - 14:25

score 364 · Answer 11 · 2016-08-05 11:57:05

364

Views

Discrete Normal Subgroup of a Simply Connected Topological Group.

Published on 05 Aug 2016 - 11:57

score 725 · Answer 12 · 2026-03-26 06:21:33

725

Views

How to compute the Euler characteristic of $S^2\times S^2$?

Published on 26 Mar 2026 - 6:21

score 288 · Answer 13 · 2026-03-26 11:03:13

288

Views

Is the homology of the chain complex of singular simplices in a topological group with point wise addition the usual homology?

Published on 26 Mar 2026 - 11:03

score 50 · Answer 14 · 2016-08-14 09:52:55

50

Views

Computation using different methods of Fundamental and Homology Group Example

Published on 14 Aug 2016 - 9:52

score 669 · Answer 15 · 2016-08-18 22:18:51

669

Views

Separable profinite group which is not metrisable?

Published on 18 Aug 2016 - 22:18

List Question

Let $G$ a simple connected topological group and $H$ a normal discrete subgroup, then $\pi_1(G/H,e) = H.$

Free groups and words

An exact sequence of compact topological groups.

Reference request for "isomorphism upto compact kernel /cokernel “

Is there a topology such that $(\Bbb R, +, \mathcal T)$ is a compact Hausdorff topological group?

A quick proof that any compact Hausdorff abelian group of finite exponent is profinite

Is there a contractible space with a free circle action?

How is $\{\mu (U): A^{-1} \subset U, U \text{ is open}\}=\{ \mu (U^{-1}): A \subset U, U \text{ is open}\}$?

Example of topological group with an uncountable fundamental system of neighborhoods of zero

For which topological measure spaces do open sets always have positive measure?

Discrete Normal Subgroup of a Simply Connected Topological Group.

How to compute the Euler characteristic of $S^2\times S^2$?

Is the homology of the chain complex of singular simplices in a topological group with point wise addition the usual homology?

Computation using different methods of Fundamental and Homology Group Example

Separable profinite group which is not metrisable?

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