47 citations · 225 across the 22 of their papers we have counts for
5 papers · 1 filter
On Separable Determination of Sigma-P-Porous Sets in Banach Spaces
Marek Cuth, Martin Rmoutil, Miroslav Zeleny
We use a method involving elementary submodels and a partial converse of Foran lemma to prove separable reduction theorems concerning Suslin sigma-P-porous sets where "P" can be fr…
Rich families and elementary submodels
Marek Cuth, Ondrej F. K. Kalenda
We compare two methods of proving separable reduction theorems in functional analysis -- the method of rich families and the method of elementary submodels. We show that any result…
Simultaneous projectional skeletons
Marek Cuth
We prove the existence of a simultaneous projectional skeleton for certain subspaces of spaces. This generalizes a result on simultaneous projectional resolutions…
Projections in duals to Asplund spaces made without Simons' lemma
Marek Cuth, Marian Fabian
G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity. A few years later, Ch.…
Noncommutative Valdivia compacta
Marek Cuth
We prove some generalizations of results concerning Valdivia compact spaces (equivalently spaces with a commutative retractional skeleton) to the spaces with a retractional skeleto…