论文信息 - The σ-additive Measure Theory

The σ-additive Measure Theory

The article contains a definition and basic properties of a σ-additive, nonnegative measure, with values in , the enlarged set of real numbers, where denotes set = ∪ {−∞, +∞} by [11]. We present definitions of σ-field of sets, σ-additive measure, measurable sets, measure zero sets and the basic theorems describing relationships between the notions mentioned above. The work is the third part of the series of articles concerning the Lebesgue measure theory.

Józef Bia las

[1] A. Trybulec. Tarski Grothendieck Set Theory , 1990 .

[2] Józef Bia. Series of Positive Real Numbers . Measure Theory , 1990 .

[3] G. Bancerek. The Fundamental Properties of Natural Numbers , 1990 .

[4] G. Bancerek,et al. Ordinal Numbers , 2003 .

[5] Józef Białas. Infimum and Supremum of the Set of Real Numbers. Measure Theory , 1990 .

[6] Czeslaw Bylinski,et al. Basic Functions and Operations on Functions , 1989 .

[7] Beata Padlewska,et al. Families of Sets , 1990 .