Certain transformations and Lebesgue measurable sets of positive measure
Mukul Pal, Mrityunjoy Nath (1999)
Czechoslovak Mathematical Journal
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Mukul Pal, Mrityunjoy Nath (1999)
Czechoslovak Mathematical Journal
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Ihor Stasyuk, Edward D. Tymchatyn (2013)
Colloquium Mathematicae
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Spaces of finite n-dimensional Hausdorff measure are an important generalization of n-dimensional polyhedra. Continua of finite linear measure (also called continua of finite length) were first characterized by Eilenberg in 1938. It is well-known that the property of having finite linear measure is not preserved under finite unions of closed sets. Mauldin proved that if X is a compact metric space which is the union of finitely many closed sets each of which admits a σ-finite linear...
Li, Jinjun (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Noboru Endou (2016)
Formalized Mathematics
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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.
Edward Marczewski, Roman Sikorski (1948)
Colloquium Mathematicum
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S. Tarkowski (1970)
Colloquium Mathematicae
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Christensen, J. P. R.
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