19 citations · 125 across the 36 of their papers we have counts for
51 papers
On disjoint tilings of by star-shaped bodies
Piotr Koszmider, Piotr Szewczak
We employ the set-theoretic methods yielding the consistency of the existence of nontrivial pairwise disjoint covers of the unit interval (or equivalently for $n\in\…
Small masas of the Calkin algebra in the Cohen model
Piotr Koszmider
We show that maximal abelian C*-subalgebras (masas) of the Calkin algebra (the algebra of all bounded operators on the separable Hilbert space modulo compact operators) may consist…
Counting spaces of functions on separable compact lines
Maciej Korpalski, Piotr Koszmider, Witold Marciszewski
We investigate the following general problem, closely related to the problem of isomorphic classification of Banach spaces of continuous real-valued functions on a compact s…
On masas of the Calkin algebra generated by projections
Piotr Koszmider
Assuming the continuum hypothesis CH, we obtain complete -isomorphic classification of maximal abelian self-adjoint subalgebras (masas) of the Calkin algebra $\mathcal Q(\ell_2)…
Almost disjoint families and some automorphic and injective properties of
Piotr Koszmider, Małgorzata Rojek
Answering questions of A. Avilés, F. Cabello Sánchez, J. Castillo, M. González and Y. Moreno we show that the following statements are independent of the usual axioms ZFC with arbi…
Products of C*-algebras that do not embed into the Calkin algebra
Damian Głodkowski, Piotr Koszmider
We consider the Calkin algebra , i.e., the quotient of the algebra of all bounded linear operators on the separable Hilbert space …