11 citations · 11 across the 2 of their papers we have counts for
4 papers
APD profiles and transfinite asymptotic dimension
Kamil Orzechowski
We develop the theory of APD profiles introduced by J. Dydak for -pseudometric spaces. We connect them with transfinite asymptotic dimension defined by T. Radul. We give a…
Asymptotic property C of the countable direct sum of uniformly discrete -hyperbolic spaces
Kamil Orzechowski
We define the direct sum of a countable family of pointed metric spaces in a way resembling the direct sum of groups. Then we prove that if a family consists of -hyperbolic (in…
Influence of cylindrical geometry and alignment layers on growth process and selective reflection of blue phase domains
M. M. Sala-Tefelska, K. Orzechowski, M. Sierakowski +4
In this work the influence of cylindrical shape and alignment layers on light reflection in Blue Phase Liquid Crystal (BPLC) is presented. For the first time, the process of BP dom…
Characterization of the Haagerup property for residually amenable groups
Kamil Orzechowski
The notions of a box family and fibred cofinitely-coarse embedding are introduced. The countable, residually amenable groups satisfying the Haagerup property are then characterized…