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an existence question from topological groups

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#measure-theory #topological-groups #locally-compact-groups #haar-measure
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Construction of a given neighbourhood in a locally compact group

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#general-topology #compactness #topological-groups
1.5k
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When a sigma-finite space is a sigma-compact space?

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#general-topology #measure-theory #compactness #topological-groups #locally-compact-groups
296
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Prob. 5 (a) in Supplementary Exercises in Munkres' TOPOLOGY, 2nd ed: How to show that this map is a homeomorphism?

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#general-topology #algebraic-topology #topological-groups
1.8k
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Complex numbers modulo integers

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#abstract-algebra #group-theory #topological-groups #quotient-group
462
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$\epsilon$-dense subsets on $\mathbb R/\mathbb Z$.

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#general-topology #metric-spaces #topological-groups
441
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A Radon measure on $G$ being left-invariant on a dense subgroup $H \subset G$ is a Haar measure on $G$.

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#measure-theory #harmonic-analysis #topological-groups #locally-compact-groups
70
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Is $\mathcal O^{\ast}/U^{(n)}\cong (\mathcal O/\mathfrak p)^{\ast}$ as topological groups?

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#algebraic-number-theory #topological-groups #valuation-theory
599
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Proof of a result on closed subgroups of Galois group

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#abstract-algebra #galois-theory #extension-field #topological-groups #profinite-groups
64
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how do i prove the existence of this norm?

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#topological-groups #local-field
235
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Is there such a norm on any totally disconnected local field?

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#field-theory #absolute-value #topological-groups #local-field
235
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Does every continuous action of $S^1$ on $R^n$ have a fixed point?

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#algebraic-topology #topological-groups
443
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Is the completion of a metrizable topological group metrizable?

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#general-topology #metric-spaces #topological-groups
250
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Comparing the Samuel and Stone-Čech compactifications of a Hausdorff topological group

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#general-topology #compactness #topological-groups #uniform-spaces
48
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A topological group is embeddble in a product of a family of second-countable topological groups if and only if it is $\omega$-narrow

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#topological-groups

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