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Many point compactification

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#general-topology #compactness
136
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Proof that space of correlation matrices is compact

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#matrices #compactness #correlation
146
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Why is it that for any rational numbers $a < b$, the interval $[a, b]$ in $\mathbb{Q}$ is not compact with respect to this metric?

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#real-analysis #analysis #metric-spaces #compactness #rational-numbers
154
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Showing uniform continuity for two intervals

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#real-analysis #compactness #uniform-continuity
105
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Unbounded, closed, star-shaped set contains ray

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#compactness #geometric-topology #real-algebraic-geometry
405
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Help understanding a particular proof of the compactness theorem for Propositional Calculus.

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#logic #compactness #propositional-calculus
78
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Show that $Gr(f)$ is compact

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#real-analysis #continuity #compactness
6.6k
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Show that every compact metrizable space has a countable basis

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#general-topology #proof-verification #metric-spaces #compactness #second-countable
167
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Show that $f$ is uniformly continuous - Compactness

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#real-analysis #compactness #uniform-continuity
46
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Compact set of a set $K$

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#real-analysis #compactness
343
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Nonlinear operator sends bounded set to relatively compact set

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#real-analysis #functional-analysis #continuity #compactness
146
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Group orderable iff all its finitely-generated subgroups are orderable

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#logic #compactness #order-theory
125
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If $X$ is a compact metric space and $E_n$ is closed nonempty subset, show that $\cap_{n=1}^\infty E_n$ is nonempty.

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#metric-spaces #proof-writing #compactness
303
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$X$ is a normed linear space such that for some compact $K\subseteq X$ , $\operatorname{span} K$ is dense in $X$ then is $X$ separable?

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#vector-spaces #metric-spaces #compactness #normed-spaces
958
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Locally bounded $\Leftrightarrow$ compactness

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#complex-analysis #compactness #normal-families

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