Gaps in analytic quotients
We prove that the quotient algebra P(ℕ)/I over any analytic ideal I on ℕ contains a Hausdorff gap.
Generalization of some known properties of Cantor set
Generalized Choquet spaces
We introduce an analog to the notion of Polish space for spaces of weight ≤ κ, where κ is an uncountable regular cardinal such that . Specifically, we consider spaces in which player II has a winning strategy in a variant of the strong Choquet game which runs for κ many rounds. After discussing the basic theory of these games and spaces, we prove that there is a surjectively universal such space and that there are exactly many such spaces up to homeomorphism. We also establish a Kuratowski-like...
Generalized Sierpinski sets.
Generation of operation-invariant classes of sets
Generic absoluteness under projective forcing