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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