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math.MG2019
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…
math.GN2019
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…