Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990 Association of Mizar Users

Series of Positive Real Numbers. Measure Theory

Jozef Bialas
University of Lodz

Summary.

We introduce properties of a series of nonnegative $\overline{\Bbb R}$ numbers, where $\overline{\Bbb R}$ denotes the enlarged set of real numbers, $\overline{\Bbb R} = {\Bbb R} \cup \{-\infty,+\infty\}$. The paper contains definition of sup $F$ and inf $F$, for $F$ being function, and a definition of a sumable subset of $\overline{\Bbb R}$. We proved the basic theorems regarding the definitions mentioned above. The work is the second part of a series of articles concerning the Lebesgue measure theory.

MML Identifier: SUPINF_2

The terminology and notation used in this paper have been introduced in the following articles [7] [9] [8] [6] [3] [10] [4] [5] [1] [2]

Contents (PDF format)

Bibliography

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