Articles

On the Urysohn number of a topological space

Published in: Quaestiones Mathematicae
Volume 34 , issue 4, pages: 441–446
DOI: 10.2989/16073606.2011.640456
Author(s): Maddalena BonanzingaDipartimento di Matematica, Italia, Filippo CammarotoDipartimento di Matematica, Italia, Mikhail Matveev*Department of Mathematical Sciences, USA,
Keywords: 54A24, 54D10, 54A24, 54D10,

Abstract

The Urysohn number of a space X is U(X) = min{τ: for every subset AX such that |A| ≥ τ one can pick neighborhoods U a a for all aA so that Some known statements about Urysohn spaces can be generalized in terms of the Urysohn number.

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