On filling families of finite subsets of the Cantor set

Dodos, P; Kanellopoulos, V

dc.contributor.author	Dodos, P	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:28:54Z
dc.date.available	2014-03-01T01:28:54Z
dc.date.issued	2008	en
dc.identifier.issn	0305-0041	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19027
dc.subject	Cantor Set	en
dc.subject.classification	Mathematics	en
dc.title	On filling families of finite subsets of the Cantor set	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0305004108001096	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0305004108001096	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Let epsilon > 0 and F be a family of finite subsets of the Cantor set C. Following D.H. Fremlin, we say that T is e-filling over C if F is hereditary and for every F CC finite there exists G subset of F such that G epsilon T and vertical bar G vertical bar >= epsilon vertical bar F vertical bar. We show that if F is epsilon-filling over C and C-measurable in [C](<omega), then for every P subset of C perfect there exists Q subset of P perfect with [Q](<omega) subset of F. A similar result for weaker versions of density is also obtained.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Mathematical Proceedings of the Cambridge Philosophical Society	en
dc.identifier.doi	10.1017/S0305004108001096	en
dc.identifier.isi	ISI:000257847400012	en
dc.identifier.volume	145	en
dc.identifier.issue	1	en
dc.identifier.spage	165	en
dc.identifier.epage	175	en