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Is the Borel sigma algebra compact w.r.t. Fréchet-Nikodym metric?

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#analysis #metric-spaces #compactness
79
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$C(X, \mathbb{C})$ separable

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#functional-analysis #analysis #metric-spaces #compactness #separable-spaces
43
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Does a limit of a sequence exist in compact set

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#probability #sequences-and-series #convergence-divergence #compactness
31
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Locally invertible function is onto if its preimage on a compact subset is compact.

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#real-analysis #compactness #inverse-function-theorem
51
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Compactness of bounded measures with respect to weak topology.

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#functional-analysis #measure-theory #compactness
43
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Bounded Variation In Compact set

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#real-analysis #compactness #real-numbers #supremum-and-infimum #bounded-variation
64
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Maximizing a convex function over an open convex set.

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#optimization #convex-optimization #compactness
103
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Confusion about why we need compactness

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#real-analysis #continuity #compactness
54
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About compactness of simply ordered set with least upper bound property (Theorem 27.1 of Munkres)

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#general-topology #compactness #upper-lower-bounds #order-topology
103
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homeomorphism between limit point compact set and 1st countable hausdorff space

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#general-topology #compactness #first-countable
106
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Integral of a continuous function continuous on a compact set w.r.t. the pointwise convergence topology

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#general-topology #functional-analysis #continuity #compactness
101
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Sequentially Compact implies Compact?

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#general-topology #reference-request #compactness #first-countable
98
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Intersection of closed and bounded subsets of $\mathbb{R}$

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#general-topology #compactness
63
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Exercise 2 Chapter 4.1 - Magnus

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#real-analysis #proof-writing #metric-spaces #compactness
67
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Is the closure of $(0,+\infty) \cap (0, a)$ compact in $(0,+\infty)$?

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#real-analysis #general-topology #analysis #compactness

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