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What is $SO(n+1)/O(n)$ as a topological space?

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#general-topology #topological-groups #quotient-spaces
96
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If $f$ is locally a.e. constant in domain $\Omega$, then $f$ is constant a.e. in $\Omega$

Published on
#general-topology #measure-theory
843
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Sub basis for the finite-closed topology

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#general-topology
46
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How to prove that $(\bar{A})' \subset A'$

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#real-analysis #general-topology
528
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Give an example of a set that has the set of natural numbers as it s set of accumulation points.

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#real-analysis #general-topology
664
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Separation Properties in Topology

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#general-topology #metric-spaces
1.3k
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The limit point of a singleton in a topology $\tau$

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#general-topology
189
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Identifying 3 sides of a polygon.

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#general-topology #algebraic-topology #cw-complexes
444
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If $H\subseteq G$ is a cocompact subgroup, then $G=KH$ for $K\subseteq G$ compact subgroup

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#general-topology #group-theory #compactness #quotient-group
1.9k
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The topology of the Cantor Set

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#general-topology
694
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Attaching maps of products of CW-complexes.

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#general-topology #algebraic-topology #cw-complexes
217
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$T_1$ spaces and sequential limits

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#sequences-and-series #general-topology #convergence-divergence #separation-axioms
105
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Prove $\partial A = \partial \bar A$ if and only if int $(\bar A) =$ int$(A)$

Published on
#real-analysis #general-topology
102
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homologically simply connected domains

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#general-topology #complex-analysis
61
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Does a space have dimension at most 1 if it contains no plane?

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#general-topology #dimension-theory-analysis

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