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Baire sets have arbitrarily fine refinements. Barry Simon. Problem 1 page 239.

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#general-topology #compactness
273
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Problem 2. A comprehensive course in Analysis. Barry simon. Page 239.

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#functional-analysis #measure-theory #compactness #descriptive-set-theory #baire-category
62
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Problem with homeomorphic subspaces

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#general-topology #compactness
33
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Problem: Is set connected and compact

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#compactness #connectedness
32
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Continuous and bounded functions and Riemann integrability

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#real-analysis #compactness #riemann-integration
557
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Entire function bounded on a set

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#general-topology #complex-analysis #compactness #entire-functions
379
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Let $A$ be the set of all rational $p$ such that $2 < p^2 < 3$.Then $A$ is choose the correct option

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#real-analysis #metric-spaces #compactness
61
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Intersection of a closed and a dense subset of a Compact Hausdorff space be empty?

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#real-analysis #general-topology #analysis #compactness
374
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Is every continious image of a non-compact space is non-compact?

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#general-topology #compactness
692
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Showing that $[0, \omega_1]$ is compact.

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#general-topology #compactness #ordinals #well-orders
64
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Cardinality of compacts with positive $(>0)$ Lebesgue measure in $\Bbb R^3$

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#real-analysis #lebesgue-measure #compactness
220
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Tightness of a finite measure on a complete and separable metric space

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#real-analysis #measure-theory #compactness #complete-spaces
232
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Is the following set a compact set?

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#general-topology #functional-analysis #compactness #complete-spaces #locally-compact-groups
218
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Are non-orientable manifolds necessarily compact?

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#general-topology #compactness #compact-manifolds #non-orientable-surfaces
519
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The closure of convex hull compact

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#real-analysis #functional-analysis #compactness

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