On antichains of spreading models of banach spaces

Dodos, P

dc.contributor.author	Dodos, P	en
dc.date.accessioned	2014-03-01T01:34:00Z
dc.date.available	2014-03-01T01:34:00Z
dc.date.issued	2010	en
dc.identifier.issn	0008-4395	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20638
dc.subject	banach space	en
dc.subject.classification	Mathematics	en
dc.subject.other	ORDERS	en
dc.title	On antichains of spreading models of banach spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.4153/CMB-2010-011-1	en
heal.identifier.secondary	http://dx.doi.org/10.4153/CMB-2010-011-1	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We show that for every separable Banach space X, either SPW(X) (the set of all spreading models of X generated by weakly-null sequences in X, modulo equivalence) is countable, or SPw(X) contains an antichain of the size of the continuum. This answers a question of S. J. Dilworth, E. Odell, and B. Sari. © 2010 Canadian Mathematical Society.	en
heal.publisher	CANADIAN MATHEMATICAL SOC	en
heal.journalName	Canadian Mathematical Bulletin	en
dc.identifier.doi	10.4153/CMB-2010-011-1	en
dc.identifier.isi	ISI:000274751400007	en
dc.identifier.volume	53	en
dc.identifier.issue	1	en
dc.identifier.spage	64	en
dc.identifier.epage	76	en