List questions from topological-groups

Published on 27 Apr 2017 - 22:19

85

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Quotient group is complete, so is the group

Published on 27 Apr 2017 - 22:46

58

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compact finitely generated ring is second countable

Published on 25 Mar 2026 - 11:08

596

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Application of SU(2) in physics

Published on 01 May 2017 - 6:46

2k

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The quotient space $S^3/S^1$ is homeomorphic to $S^2$

Published on 01 May 2017 - 16:20

187

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$x$ is accumulation point of $A\subset X$ iff each neighborhood of $x$ contain infinite point of $A$

Published on 02 May 2017 - 8:41

194

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Is the inversion function $\iota:GL_{n}($R$)\rightarrow GL_{n}($R$)$ defined by $\iota(A):=A^{-1}$ continuous?

Published on 06 May 2017 - 20:33

94

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The maximal compact subgroup of the nilradical

Published on 07 May 2017 - 9:43

1.5k

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About topological group and a connected component

Published on 08 May 2017 - 15:02

90

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Is there a totally disconnected topological space which is not Hausdorff?

Published on 08 May 2017 - 15:09

653

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Example of disconnected Lie groups with finite extensions

Published on 26 Mar 2026 - 6:27

59

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topological group in finer topology

Published on 14 May 2017 - 10:41

266

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The image of a closed subgroup is closed when the kernel is finite

Published on 15 May 2017 - 8:51

79

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Let G be a linear group and A and B are closed(topologically) subset of G show that AB does not need to be closed in G

Published on 26 Mar 2026 - 12:53

156

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Alternative description of the compact-open topology

Published on 29 Mar 2026 - 23:45

List Question

Show that $\pi_1(SO(\infty))=\mathbb{Z}_2$ and $\pi_9(SO(\infty))=\mathbb{Z}_2$

Quotient group is complete, so is the group

compact finitely generated ring is second countable

Application of SU(2) in physics

The quotient space $S^3/S^1$ is homeomorphic to $S^2$

$x$ is accumulation point of $A\subset X$ iff each neighborhood of $x$ contain infinite point of $A$

Is the inversion function $\iota:GL_{n}($R$)\rightarrow GL_{n}($R$)$ defined by $\iota(A):=A^{-1}$ continuous?

The maximal compact subgroup of the nilradical

About topological group and a connected component

Is there a totally disconnected topological space which is not Hausdorff?

Example of disconnected Lie groups with finite extensions

topological group in finer topology

The image of a closed subgroup is closed when the kernel is finite

Let G be a linear group and A and B are closed(topologically) subset of G show that AB does not need to be closed in G

Alternative description of the compact-open topology

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