Abstract of a paper by Michael Megrelishvili
16 Dec
2014
16 Dec
'14
10:58 a.m.
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
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