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Title: Extraresolvability of balleans (English)
Author: Protasov, I. V.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 48
Issue: 1
Year: 2007
Pages: 167-175
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Category: math
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Summary: A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space. (English)
Keyword: ball structure
Keyword: ballean
Keyword: resolvability
Keyword: extraresolvability
MSC: 05A18
MSC: 54A25
MSC: 54A35
MSC: 54E15
idZBL: Zbl 1199.54033
idMR: MR2338837
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Date available: 2009-05-05T17:01:59Z
Last updated: 2012-05-01
Stable URL: http://hdl.handle.net/10338.dmlcz/119646
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Reference: [10] Protasov I., Zarichnyi M.: General Asymptology.Math. Stud. Monogr. Ser., VNTL, Lviv, 2006. MR 2406623
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Reference: [12] Protasov I.V.: Resolvability of ball structures.Appl. Gen. Topol. 5 (2004), 191-198. Zbl 1062.54006, MR 2121788
Reference: [13] Protasov I.V.: Cellularity and density of balleans.Appl. Gen. Topol., to appear. Zbl 1152.54312, MR 2398520
Reference: [14] Roe J.: Lectures on Coarse Geometry.University Lecture Series 31, American Mathematical Society, Providence, RI, 2003. Zbl 1042.53027, MR 2007488
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