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

Contents (PDF format)

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