Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992 Association of Mizar Users

## Completeness of the $\sigma$-Additive Measure. Measure Theory

Jozef Bialas
University of Lodz

### Summary.

Definitions and basic properties of a $\sigma$-additive, non-negative measure, with values in $\overline{\Bbb R}$, the enlarged set of real numbers, where $\overline{\Bbb R}$ denotes set $\overline{\Bbb R} = {\Bbb R}\cup\{-\infty,+\infty\}$ - by [10]. The article includes the text being a continuation of the paper [5]. Some theorems concerning basic properties of a $\sigma$-additive measure and completeness of the measure are proved.

#### MML Identifier: MEASURE3

The terminology and notation used in this paper have been introduced in the following articles [11] [8] [13] [12] [14] [6] [7] [1] [9] [2] [3] [4] [5]

Contents (PDF format)

#### Bibliography

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