This is an announcement for the paper "Analytic multiple gaps" by Antonio Aviles and Stevo Todorcevic.

Abstract: We prove that there is a finite basis for analytic n-gaps, and we prove a number of results concerning the structure of an analytic n-gap when restricted to an infinite subset. This has applications in the study of how different classes of subsequences are mixed inside a sequence of vectors in a Banach space

Archive classification: math.LO math.CO math.FA

Mathematics Subject Classification: Primary 03E15, 28A05, 05D10, Secondary 46B15

Submitted from: avileslo@um.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1209.3751

or

http://arXiv.org/abs/1209.3751