3 citations · 8 across the 4 of their papers we have counts for
4 papers
Kadec norms on spaces of continuous functions
Max Burke, Wieslaw Kubis, Stevo Todorcevic
We study the existence of pointwise Kadec renormings for Banach spaces of the form . We show in particular that such a renorming exists when is any product of compact lin…
Models in which every nonmeager set is nonmeager in a nowhere dense Cantor set
Maxim R. Burke, Arnold W. Miller
We prove that it is relatively consistent with ZFC that in any perfect Polish space, for every nonmeager set A there exists a nowhere dense Cantor set C such that A intersect C is…
Hechler's theorem for the null ideal
Maxim R. Burke, Masaru Kada
We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the…
Linear liftings for non complete probability space
Max R. Burke, Saharon Shelah
We show that it is consistent with ZFC that L^infty (Y,B, nu) has no linear lifting for many non-complete probability spaces (Y,B, nu), in particular for Y=[0,1]^A, B= Borel subset…