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The existence of locally fine simplicial subdivisions

Part of: Classical measure theory Real functions

Published online by Cambridge University Press:  09 April 2009

W. F. Pfeffer
W. F. Pfeffer
Affiliation:
Department of Mathematics University of CaliforniaDavis, California 95616, U.S.A.
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Abstract

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Given a simplex S and a positive function δ on S, we show that there is a simplicial subdivision of S such that the diameter of each subdividing simplex is smaller that δ evaluated at some of its vertices.

Keywords

complexpartitionsuperadditive functionlower derivate.

MSC classification

Secondary: 26A39: Denjoy and Perron integrals, other special integrals 28A15: Abstract differentiation theory, differentiation of set functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 1 , August 1982 , pp. 114 - 124
Copyright
Copyright © Australian Mathematical Society 1982

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