New posts in descriptive-set-theory

Measurability Question?

Convergence in topologies

Hausdorff spaces from filters

Compact subset of an open set

Is there any generalization of the hyperarithmetical hierarchy using the analytical hierarchy to formulas belonging to third-order logic and above?

Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null $F_\sigma$ set?

homeomorphism of cantor set extends to the plane?

Recursive in a $\Sigma^0_2$-singleton implies recursive

Definable order types without infinity axiom.

Analytic sets are Lebesgue measurable

From universal measurability to measurability

Uncountable closed set of reals biject with reals without replacement or choice

Is there a specific infinitary sentence second-order logic can't capture?

Is the cardinality of uncountable $G_{\delta}$ set of $\mathbb{R}$ equals the cardinality of the continuum?

Can an uncountable family of positive-measure sets be such that no point belongs to uncountably many of them?

Could we ever hope to integrate all functions?

Does every Lebesgue measurable set have the Baire property?

Are "most" sets in $\mathbb R$ neither open nor closed?

What is the cardinality of $\omega^\omega$?

Can we describe any subsets of $\mathbb{N}$ occurring in a late layer of the Constructible Universe?