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If $T:X\to Y$ is linear and $T$ is $(\omega_X-\omega_Y)-$continuous, then $T$ is $(s_X-s_Y)-$continuous

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#general-topology #functional-analysis #topological-groups
106
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$M$ be a complete $R$-module and $N$ be a closed submodule of $M.$ Then $M/N$ is complete.

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#abstract-algebra #commutative-algebra #modules #topological-groups
517
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Is a locally compact subgroup of a locally compact group closed?

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#general-topology #topological-groups #locally-compact-groups
1.2k
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What is a local group isomorphism?

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#group-theory #terminology #lie-groups #topological-groups #group-isomorphism
107
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Product of an open set and an element of a topological group, in a transformation group, is again an open set.

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#abstract-algebra #general-topology #group-theory #topological-groups
147
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Why $(X/\equiv,T)$ is a transformation group with the original topology of $T$ if $(X,T)$ is a transformation group, assuming some hypotheses.

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#abstract-algebra #general-topology #group-theory #topological-groups
117
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The orbit closure of a periodic point in a dynamical system is the same as the orbit itself

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#general-topology #dynamical-systems #topological-groups
50
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underlying fiber sequence of top. groups

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#general-topology #reference-request #algebraic-topology #topological-groups
179
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Inventor of Topological groups

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#terminology #math-history #topological-groups
83
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Showing $χ$ for a three manifold?

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#general-topology #algebraic-topology #homotopy-theory #topological-groups #geometric-topology
712
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$n$-gons gluing diagram/proof?

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#general-topology #geometry #algebraic-topology #topological-groups #geometric-topology
401
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Space homeomorphic to Mobius Strip?

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#general-topology #algebraic-topology #homotopy-theory #topological-groups #geometric-topology
71
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H. Abels' paper about Specker compactifications

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#group-theory #topological-groups #geometric-group-theory
134
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torus crossing directions & Conway polynomial

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#general-topology #polynomials #topological-groups #knot-theory #knot-invariants
25
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If $H$ and $G/H$ are pseudocompact then is G also pseudocompact?

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#general-topology #topological-groups

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