3 citations · 3 across the 15 of their papers we have counts for
15 papers · 1 filter
On the Rudin-Blass Ordering of Measures
Piotr Borodulin-Nadzieja, Arturo Martínez-Celis, Adam Morawski +1
We study the Rudin-Blass (and the Rudin-Keisler) ordering on the finite additive measures on . We propose a generalization of the notion of Q-point and selective ultrafilter to…
P-measures in models without P-points
Piotr Borodulin-Nadzieja, Jonathan Cancino-Manríquez, Adam Morawski
We answer in negative the problem if the existence of a P-measure implies the existence of a P-point. Namely, we show that if we add random reals to a certain unique P-point model,…
On points avoiding measures
Piotr Borodulin-Nadzieja, Artsiom Ranchynski
We say that an element of a topological space avoids measures if for every Borel measure on if , then there is an open such that . The…
There is a P-measure in the random model
Piotr Borodulin-Nadzieja, Damian Sobota
We say that a finitely additive probability measure on is \emph{a P-measure} if it vanishes on points and for each decreasing sequence of infinite subsets of th…
On measures induced by forcing names for ultrafilters
Piotr Borodulin-Nadzieja, Katarzyna Cegiełka
We study the interplay between properties of measures on a Boolean algebra A and forcing names for ultrafilters on A. We show that several well known measure theoretic properties o…
On sequences of homomorphisms into measure algebras and the Efimov Problem
Piotr Borodulin-Nadzieja, Damian Sobota
For given Boolean algebras and we endow the space of all Boolean homomorphisms from to with…
Splitting chains, tunnels and twisted sums
Félix Cabello Sánchez, Antonio Avilés, Piotr Borodulin-Nadzieja +2
We study splitting chains in , that is, families of subsets of which are linearly ordered by and which are splitting. We prove that their existenc…
Analytic P-ideals and Banach spaces
Piotr Borodulin-Nadzieja, Barnabás Farkas
We study the interplay between Banach space theory and theory of analytic P-ideals. Applying the observation that, up to isomorphism, all Banach spaces with unconditional bases can…
On non-separable growths of omega supporting measures
Piotr Borodulin-Nadzieja, Tomasz Żuchowski
We present several examples of compactifications of such that their remainders are nonseparable and carry strictly positive measures.
Measures and slaloms
Piotr Borodulin-Nadzieja, Tanmay Inamdar
We examine measure-theoretic properties of spaces constructed using certain technique of Todorčević. We show that the existence of strictly positive measures on such spaces depends…
Measures and fibers
Piotr Borodulin-Nadzieja
We study measures on compact spaces by analyzing the properties of fibers of continuous mappings into 2^omega. We show that if a compact zerodimensional space K carries a measure o…
Measures on Suslinean spaces
Piotr Borodulin-Nadzieja, Grzegorz Plebanek
We study the existence of non-separable compact spaces that support a measure and are small from the topological point of view. In particular, we show that under Martin's axiom the…
Representations of ideals in Polish groups and in Banach spaces
Piotr Borodulin-Nadzieja, Barnabas Farkas, Grzegorz Plebanek
We investigate ideals of the form is unconditionally convergent , where is a sequence in a Polish group or in a Banach…
Hausdorff gaps and towers in P(ω)/Fin
Piotr Borodulin-Nadzieja, David Chodounský
We define and study two classes of uncountable -chains: Hausdorff towers and Suslin towers. We discuss their existence in various models of set theory. Then, some of t…
On the isomorphism problem for measures on Boolean algebras
Piotr Borodulin-Nadzieja, Mirna Džamonja
The paper investigates possible generalisations of Maharam's theorem to a classification of Boolean algebras that support a finitely additive measure. We prove that Boolean algebra…