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15
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Proper polynomial mappings

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#general-topology #polynomials #compactness #several-complex-variables
135
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Compactness of normed linear spaces

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#metric-spaces #compactness #normed-spaces
648
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Hyperplane and convexity

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#linear-algebra #convex-analysis #compactness #convex-geometry
162
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Compactness is preserved by continuous surjections.

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#general-topology #proof-verification #continuity #compactness
48
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When is $S(0,r)$ not compact on $(X,\|\cdot\|)$?

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#compactness #normed-spaces
287
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unit sphere with respect to the max. norm is compact

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#real-analysis #normed-spaces #compactness
702
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Proving this integral operator is compact

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#analysis #compactness #cauchy-sequences
66
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Definition of compactness in $\mathbb{R}$

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#real-analysis #general-topology #elementary-set-theory #compactness
54
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Open Covers of Unit Balls in Different Spaces

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#general-topology #functional-analysis #compactness
207
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Limit point of distances in compact set

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#real-analysis #general-topology #limits #compactness
386
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Constructing symplectic tubular neighborhood of compact submanifold

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#general-topology #differential-geometry #differential-topology #compactness #symplectic-geometry
185
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Compactness of quotient topology

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#general-topology #compactness
1.2k
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Arzela-Ascoli-type embedding: Is $H^1(0,T;X)$ compactly embedded in $C([0,T];X)$?

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#functional-analysis #compactness #sobolev-spaces #bochner-spaces #arzela-ascoli
1.9k
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Is a surjective continuous map with compact domain is open?

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#general-topology #continuity #compactness #examples-counterexamples #open-map
39
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If A a compact set of real numbers. Prove that the set of all averages of two numbers in A is compact

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#real-analysis #compactness

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