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Integration on generalized measure spaces. (English) Zbl 0721.28010
The author summarizes some recent results concerning the monotonicity and additivity of the integral on generalized measure spaces. In particular, he reviews the results of J. Zerbe and the reviewer [J. Comb. Theory, Ser. A 39, 42-51 (1985; Zbl 0624.28012)] and the author [Real Anal. Exch. 14, No.1, 228-234 (1989; M.R. 90c:81018)]. He also poses some related open problems.

MSC:
28C99 Set functions and measures on spaces with additional structure
28A25 Integration with respect to measures and other set functions
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
Citations:
Zbl 0624.28012
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