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A Proof of a Theorem by Burgess

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#general-topology #logic #equivalence-relations #descriptive-set-theory
147
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$\aleph_1$ Borel partition

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#set-theory #descriptive-set-theory #borel-sets
449
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Proof that $G_\delta$ sets in $\mathbb{R}$ are either countable,finite, or have cardinality of the continuum.

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#set-theory #trees #descriptive-set-theory
407
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Advanced online courses for different subjects

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#real-analysis #set-theory #self-learning #education #descriptive-set-theory
67
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$(X, \mathcal{T})$ Polish and $F \subseteq X$ closed $\implies$ topology generated by $\mathcal{T} \cup \{ F \}$ is Polish

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#general-topology #descriptive-set-theory #polish-spaces
142
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Co-meager set in open set

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#real-analysis #general-topology #descriptive-set-theory
205
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Projection of an Analytic Set is Analytic

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#measure-theory #descriptive-set-theory #outer-measure #polish-spaces
300
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What are projective sets in Set Theory?

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#general-topology #descriptive-set-theory
134
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Existence of a Measure on $2^{\aleph _0}$ & the Continuum Hypothesis

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#measure-theory #intuition #descriptive-set-theory
378
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What does the perfect set property really mean?

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#general-topology #set-theory #descriptive-set-theory
104
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First category set and set-theoretical assumption

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#set-theory #descriptive-set-theory
108
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Analytic set in forcing extension

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#logic #set-theory #descriptive-set-theory #forcing
191
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Cantor space has a binary tree structure?

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#general-topology #descriptive-set-theory #cantor-set
118
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Is the random graph ideal an $F_\sigma$-ideal?

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#general-topology #set-theory #descriptive-set-theory
47
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Proving that a pointset is $\Sigma^0_2$ iff it is a countable union of closed sets.

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#general-topology #descriptive-set-theory

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