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Is there any condition that makes a measure zero set necessarily countable?

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#real-analysis #measure-theory #metric-spaces #lebesgue-measure #descriptive-set-theory
38
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Products of Product Spaces

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#general-topology #descriptive-set-theory
43
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Is it true that, for any $X$ Polish uncountable, every boldface class of $X$ is lightface with respect to some oracle?

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#computability #descriptive-set-theory
612
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Why do we not avoid the phrase "if we assume AC " and take it as granted?

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#soft-question #set-theory #axiom-of-choice #foundations #descriptive-set-theory
109
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Hausdorff Quasi-Polish spaces

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#general-topology #examples-counterexamples #descriptive-set-theory #polish-spaces
217
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Kunen exercise IV.4.13 (4): Topological version of effective AC

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#general-topology #computability #descriptive-set-theory #cantor-set
88
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The set of all points belonging to infinitely many closed sets not an $F_{\sigma}$

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#general-topology #descriptive-set-theory #borel-sets
92
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Small index property

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#logic #permutations #topological-groups #descriptive-set-theory #polish-groups
101
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Is there a function whose graph is connected but contains no arcs?

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#functions #continuity #examples-counterexamples #descriptive-set-theory
83
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How to prove that the following metric induces the subspace topology?

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#general-topology #descriptive-set-theory #polish-spaces #metrizability
123
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Measurable invariance of domain

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#general-topology #measure-theory #descriptive-set-theory
74
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Cardinality bound of a sigma algebra without transfinite induction or (full) axiom of choice.

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#set-theory #descriptive-set-theory
69
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Can we classify all topological space $(X, \tau) $ where every second category sets are Residual sets?

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#general-topology #functional-analysis #descriptive-set-theory #baire-category #the-baire-space
75
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Countable sum of Baire of class 2 functions on $\Bbb R$

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#real-analysis #general-topology #descriptive-set-theory #baire-category
66
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Verify $F_\sigma$ of a countable sum of functions

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#general-topology #descriptive-set-theory #borel-sets

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