Asymptotic structures of cardinals

A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F)  can be considered as an asymptotic counterpart of a uniform topological space. Given a cardinal k, we define F using a natural order structure on k. We characterize balleans up to coarse equiv...

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Bibliographic Details
Main Authors: Oleksandr Petrenko, Igor V. Protasov, Sergii Slobodianiuk
Format: Article
Language:English
Published: Universitat Politècnica de València 2014-07-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/3109