cellularity and density of balleans

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ID: 237432
2013
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Abstract
A ballean is a set X endowed with some family F of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. Then we define the asymptotic counterparts for dense and open subsets, introduce two cardinal invariants (density and cellularity) of balleans and prove some results concerning relationship between these invariants. We conclude the paper with applications of obtained partitions of left topological group in dense subsets.
Reference Key
protasov2013appliedcellularity Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Igor V. Protasov
Journal Health and quality of life outcomes
Year 2013
DOI
10.4995/agt.2007.1898
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