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ON AXIOMATIZATION OF THE CONCEPT OF MEASURABLE FUNCTION
1982
Demonstratio Mathematica
This paper refers to [1] , where the problem of axiomatisatior. of the notion of random variable was investigated. The objects of examination were real-valued functions; the axioms were connected with elementary notions concerning reals: addition, multiplication, extraction, etc. Now we consider functions with values in an arbitrary poDisn space. Axioms have more set-theoretical character. We denote the set of all B-valued functions with a as a domain by ^B. We identify an integer n with the
doi:10.1515/dema-1982-0413
fatcat:ndh74mnur5fv3doboidyimnwhi