论文信息 - Several Properties of the σ-additive Measure

Several Properties of the σ-additive Measure

A continuation of [4]. The paper contains the definition and basic properties of a σ-additive, nonnegative measure, with values in R, the enlarged set of real numbers, where R denotes set R = R∪{−∞,+∞} — by R. Sikorski [9]. Some simple theorems concerning basic properties of a σ-additive measure, measurable sets, measure zero sets are proved. The work is the fourth part of the series of articles concerning the Lebesgue measure theory.

J. Białas

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

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

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

[4] Józef Bia las. The σ-additive Measure Theory , 1990 .

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

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

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

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