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Sets, Spaces, and Measures

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Probability Theory I

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 45))

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Abstract

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

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Bibliography

  1. Andersen, E. S. and Jessen, B. On the introduction of measures in infinite product sets. Danske Vid. Selsk, Mat-Fys. Medd. 22 (1946).

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  2. Daniell, P. J. Functions of limited variation in an infinite number of dimensions. Ann. Math. 21 (1919–1920).

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  3. 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).

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  4. Kelley, J. L. Convergence in topology. Duke Math. J. (1952).

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© 1977 Springer-Verlag Inc.

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Loève, M. (1977). Sets, Spaces, and Measures. In: Probability Theory I. Graduate Texts in Mathematics, vol 45. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9464-8_2

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  • DOI: https://doi.org/10.1007/978-1-4684-9464-8_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-9466-2

  • Online ISBN: 978-1-4684-9464-8

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