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Dense subsets in the hyperspace of compact sets

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#general-topology #reference-request #descriptive-set-theory #polish-spaces
81
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How can I show that this set is (or not is) a Borel set?

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#elementary-set-theory #descriptive-set-theory
237
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Which spaces have uncountable perfect sets?

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#general-topology #descriptive-set-theory #baire-category
47
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When is the space of compact sets borel in the space of closed sets?

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#general-topology #descriptive-set-theory
52
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Why is this set $\mathbf{\Pi}^0_\xi$?

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#descriptive-set-theory #cantor-set #borel-sets
190
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Are All Generating Sets for the Borel Algebra Uncountable?

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#measure-theory #descriptive-set-theory #borel-sets
214
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split perfect set into countable many pairwise disjoint perfect sets

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#set-theory #descriptive-set-theory #transfinite-induction
94
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Coarsenings of the topology on $2^\omega$ with $F_\sigma$ (sub)base

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#general-topology #computability #descriptive-set-theory #descriptive-complexity
242
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Is a countable infinite union of $\Sigma_1$ sets is $\Sigma_1$?

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#set-theory #general-topology #descriptive-set-theory
520
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Well-founded trees of any order

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#logic #set-theory #descriptive-set-theory
153
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Finding a continuous function between upper and lower semi-continuous ones

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#real-analysis #general-topology #continuity #descriptive-set-theory
70
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Universal sets for self dual pointclasses?

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#reference-request #descriptive-set-theory #borel-sets
104
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Is this space subspace of $[0,1]^{\mathbb{N}}$ Polish?

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#measure-theory #descriptive-set-theory
274
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Construction of Cantor-like function

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#real-analysis #descriptive-set-theory #cantor-set
105
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Hemicontinuous compact-valued mapping on $\mathbb{R}$ with no continous selection

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#real-analysis #general-topology #examples-counterexamples #descriptive-set-theory #multivalued-functions

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