Sets, Spaces, and Measures

  • M. Loève
Part of the Graduate Texts in Mathematics book series (GTM, volume 45)


A set is a collection of arbitrary elements. By an abuse of language, an empty set is a “set with no elements.”


Limit Point Open Covering Inverse Image Extension Theorem Normed Linear Space 
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    Daniell, P. J. Functions of limited variation in an infinite number of dimensions. Ann. Math. 21 (1919–1920).Google Scholar
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    Doubrosky, V. On some properties of completely additive set-functions and passage to the limit under the integral sign. Izv. Ak. Nauk SSSR 9 (1945).Google Scholar
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    Kelley, J. L. Convergence in topology. Duke Math. J. (1952).Google Scholar

Copyright information

© Springer-Verlag Inc. 1977

Authors and Affiliations

  • M. Loève
    • 1
  1. 1.Departments of Mathematics and StatisticsUniversity of California at BerkeleyBerkeleyUSA

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