A proof of W. T. Gowers' c0 theorem

Kanellopoulos, V

dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T02:42:25Z
dc.date.available	2014-03-01T02:42:25Z
dc.date.issued	2004	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30996
dc.subject	Compact semigroups	en
dc.subject	Idempotents	en
dc.subject	Lipschitz functions	en
dc.subject	Ultrafilters	en
dc.subject	Variable words	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	RAMSEY THEORY	en
dc.subject.other	SPACES	en
dc.title	A proof of W. T. Gowers' c0 theorem	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1090/S0002-9939-04-07320-4	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9939-04-07320-4	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	W.T. Gowers' c(0) theorem asserts that for every Lipschitz function F : S-c0 --> R and epsilon > 0, there exists an infinite-dimensional subspace Y of c(0) such that the oscillation of F on S-Y is at most epsilon. The proof of this theorem has been reduced by W. T. Gowers to the proof of a new Ramsey type theorem. Our aim is to present a proof of the last result.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9939-04-07320-4	en
dc.identifier.isi	ISI:000222815900012	en
dc.identifier.volume	132	en
dc.identifier.issue	11	en
dc.identifier.spage	3231	en
dc.identifier.epage	3242	en