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15
71
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Product of unconditional sums in an arbitrary semiring

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#sequences-and-series #topological-groups #topological-rings
53
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A group contain a compact open subgroup

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#algebraic-number-theory #topological-groups
82
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How to prove the topological isomorphism?

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#algebraic-number-theory #topological-groups #profinite-groups
68
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Why it's a open neighbourhood?

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#algebraic-number-theory #topological-groups #local-field
42
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A problem about open subgroup.

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#algebraic-number-theory #topological-groups #local-field
20
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Closed subgroups and submonoids of pointwise convergence.

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#permutations #topological-groups #pointwise-convergence
73
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Cancellation property of the Stone Cech compactification

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#general-topology #topological-groups #semigroups #compactification #topological-semigroups
32
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Action of $O(n+1)$ on $S^n$ by matrix multiplication is continuous.

Published on
#topological-groups #quotient-spaces
57
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How do we know that if $H$ is discrete then $H$ is open subgroup of $\overline{H}$?

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#general-topology #group-theory #topological-groups
123
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Smooth/Lipchitz surjection from torus to sphere that preserves the invariant measure

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#measure-theory #differential-topology #topological-groups #haar-measure
80
Views

How to formally prove that an abelian group generated by $k$ linearly independent vectors $v_1,\cdots, v_k$ in $\mathbb R^d (k\le d)$ is discrete?

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#general-topology #abelian-groups #topological-groups #integer-lattices
54
Views

Why do we use closed subgroups of topological groups?

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#topological-groups
87
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Lifting the convergent sequence in the quotient space

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#general-topology #lie-groups #topological-groups #homogeneous-spaces
96
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Coproduct in the category of compact abelian groups

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#group-theory #category-theory #abelian-groups #harmonic-analysis #topological-groups
83
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Do groups with finitely many finite index subgroups of each index have strongly complete profinite completion?

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#group-theory #topological-groups #profinite-groups

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