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Does every compactification have an extension property?

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#general-topology #compactification
217
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How does the product construction of the Stone-Cech compactification work?

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#general-topology #compactness #compactification
125
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One-point compactification problem 2

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#general-topology #compactness #compactification
140
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Is the algebra map of the ultrafilter monad continuous?

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#general-topology #convergence-divergence #filters #monads #compactification
885
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One point compactification is compact

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#general-topology #compactness #compactification
82
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A compact space is its compactification

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#general-topology #compactification
89
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Can a noncompact metric space have a maximal metrizable Hausdorff compactification?

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#general-topology #metric-spaces #compactness #compactification
417
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Continuous extension of a function to the Stone-Cech compactification

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#general-topology #compactification
1k
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For the existence of one-point compactification, do we need locally compactness?

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#general-topology #compactness #separation-axioms #compactification
1k
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Intuition for the Stone-Čech compactification via ultrafilters

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#general-topology #intuition #filters #compactification
360
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Homeomorphism from punctured sphere to horn torus

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#general-topology #compactness #compactification
152
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$X$ in its one point compactification

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#general-topology #compactification
179
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If $E$ is a locally compact metric space and $f:[0,∞)→E$ is càdlàg, is $f$ càdlàg as a function into the one-point compactification of $E$ too?

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#general-topology #compactification #skorohod-space
478
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Stone-Čech compactification is extremally disconnected.

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#general-topology #compactification
24
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Maxap groups with zero-dimensional group compactifications

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#group-theory #compactification

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