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Partial converses to extreme value theorem

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#general-topology #compactness
491
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Three notions of compactness: minimal conditions for equivalence?

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#general-topology #compactness
735
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Prove all closed subspace of a compact space are compact: Redundancy?

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#general-topology #compactness
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Characterization of Compact Space via Continuous Function

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#general-topology #continuity #compactness
79
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Compactness theorem, propositional calculus

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#compactness #propositional-calculus
145
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Proof or definition of compactness in lecture notes?

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#general-topology #compactness
89
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Composition Series Analogous to Compactness?

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#group-theory #compactness
130
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Hausdorff of $X$ implies Hausdorff of $Y$ under some strange condition

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#general-topology #compactness
121
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compactness of a set of sequences

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#sequences-and-series #general-topology #compactness
83
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Compactification, definite function

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#general-topology #compactness
347
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If $X$ is a non-compact metric space, can $X^n$ ever be compact?

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#metric-spaces #compactness
137
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Compactness in a vector space

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#general-topology #vector-spaces #compactness #normed-spaces
1.1k
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Prove the integers in the arithmetic progression topology is not compact

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#general-topology #prime-numbers #compactness #arithmetic-progressions
148
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Issue with compactness implies boundedness proof

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#real-analysis #compactness
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If $X$ is compact and $T:X \to Y$ continuous and bijective, show that $T$ is homeomorphism.

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#functional-analysis #continuity #metric-spaces #compactness

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