This is an announcement for the paper "A note on dependence of families having bounded variation" by Michael Megrelishvili.

Abstract: We show that for arbitrary linearly ordered set $X$ any bounded family of real valued functions on $X$ with bounded total variation does not contain independent subsequences. As a corollary we generalize Helly's sequential compactness theorem.

Archive classification: math.GN math.FA

Mathematics Subject Classification: 54F15, 54D30, 06A05

Remarks: 7 pages

Submitted from: megereli@math.biu.ac.il

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

http://front.math.ucdavis.edu/1412.1515

or

http://arXiv.org/abs/1412.1515