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15
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Can we develop differential theory out of Euclidean spaces, just with the structure of topological groups?

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#general-topology #lie-groups #topological-groups
102
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To show [0,1] is not homogeneous

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#general-topology #topological-groups
191
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Closed subgroups of profinite groups and basis of neighbourhoods

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#abstract-algebra #general-topology #topological-groups #profinite-groups #neighbourhood
203
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The centralizer of a set $M$ is a closed subgroup

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#abstract-algebra #lie-groups #group-actions #topological-groups
21
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Let $G$ be locally compact abelian, $T_2$ and $f\in L^1(G)$. Define $\mu(A)=\int_A f(x)\ dx$. Prove $\lVert \mu\rVert=\lVert f\rVert_1$

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#measure-theory #lp-spaces #harmonic-analysis #topological-groups #locally-compact-groups
57
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A measure theoretic problem related to induced representations

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#representation-theory #topological-groups #haar-measure #automorphic-forms
132
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Find connected closed subgroup of $(\mathbb C,+)$

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#general-topology #topological-groups
67
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Are admissible topological rings compactly generated?

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#general-topology #commutative-algebra #topological-groups #topological-rings
151
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Is a certain map $\mathbb{R}\to \widehat{\mathbb{R}}$ a homeomorphism?

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#complex-analysis #analysis #harmonic-analysis #topological-groups
120
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A subgroup of full measure is dense given a haar measure

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#measure-theory #lie-groups #topological-groups #haar-measure
174
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Group/H-space structures for standard models of classifying spaces?

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#algebraic-topology #homotopy-theory #topological-groups #grassmannian #classifying-spaces
54
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Existence of a certain type of function on locally compact groups

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#topological-groups #locally-compact-groups
165
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Cylinder as a quotient space

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#general-topology #algebraic-topology #solution-verification #topological-groups
109
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Is the Haar measure of the boundary of an open subset of the $k$-torus zero?

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#measure-theory #manifolds #topological-groups #locally-compact-groups #haar-measure
131
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Equivalent topologies on the Tate Module

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#number-theory #algebraic-geometry #elliptic-curves #topological-groups #profinite-groups

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