Some properties of measurable sets
S. Tarkowski (1970)
Colloquium Mathematicae
Similarity:
S. Tarkowski (1970)
Colloquium Mathematicae
Similarity:
Milton Parnes (1973)
Acta Arithmetica
Similarity:
Noboru Endou (2016)
Formalized Mathematics
Similarity:
In this article we formalize in Mizar [5] product pre-measure on product sets of measurable sets. Although there are some approaches to construct product measure [22], [6], [9], [21], [25], we start it from σ-measure because existence of σ-measure on any semialgebras has been proved in [15]. In this approach, we use some theorems for integrals.
D. Fremlin (1991)
Fundamenta Mathematicae
Similarity:
Baltasar Rodríguez-Salinas (2001)
RACSAM
Similarity:
We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σ, μ) of spaces of probability to have a measure μ which is an extension of all the measures μ. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.
Siboni, Stefano (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
C. Goffman, R. Zink (1960)
Fundamenta Mathematicae
Similarity:
A. Calderón (1966)
Studia Mathematica
Similarity:
Kharazishvili, A.B. (1997)
Journal of Applied Analysis
Similarity:
Noboru Endou (2017)
Formalized Mathematics
Similarity:
The purpose of this article is to show Fubini’s theorem on measure [16], [4], [7], [15], [18]. Some theorems have the possibility of slight generalization, but we have priority to avoid the complexity of the description. First of all, for the product measure constructed in [14], we show some theorems. Then we introduce the section which plays an important role in Fubini’s theorem, and prove the relevant proposition. Finally we show Fubini’s theorem on measure.
James Fickett, Jan Mycielski (1979)
Colloquium Mathematicae
Similarity:
James Foran (1976)
Fundamenta Mathematicae
Similarity:
Robert Morris Pierce
Similarity: