A problem with almost everywhere equality

作者：Niemiec Piotr^*

来源：Annales Polonici Mathematici, 2012, 104(1): 105-108.

DOI：10.4064/ap104-1-8

• measurability
• almost everywhere equality
• metrizable space
• measurable space
• measurable function
• measurable set

A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X, 971) is a measurable space and 1,9: X -%26gt; Y are two measurable functions, then the set Delta(f, g) = {x is an element of X : f(x) = g(x)} is a member of 931. It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than 2(No).

• 出版日期2012