Displaying similar documents to “The thermodynamical properties of an ideal gas in a periodical potential field”

An uncountable partition contained in the atomless σ-field

Radosław Drabiński (2011)

Colloquium Mathematicae

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This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.