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Some Properties of Negligible Sets

In the study of sets of points certain sets are found to be negligible, especially when applied to the theory of functions. The purpose of this paper is to discuss three of these "negligible" types, namely, exhaustible sets, denumerable sets, and sets of Lebesgue measure zero. We will present a complete existential theory in q-space for the three set properties mentioned above, followed by a more restricted discussion in the linear continuum by use of interval properties.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc83358
Date06 1900
CreatorsButts, Hubert S.
ContributorsHanson, E. H., Cooke, J. V.
PublisherNorth Texas State Teachers College
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 28 leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Butts, Hubert S.

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