Selection theorems and the reduction principle

Maitra, A.; Rao, B. V.

doi:10.1090/S0002-9947-1975-0355960-4

Selection theorems and the reduction principle
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by A. Maitra and B. V. Rao PDF

Trans. Amer. Math. Soc. 202 (1975), 57-66 Request permission

Abstract:

In this paper we attempt a unification of several selection theorems in the literature. It is proved that the existence of “nice” selectors in a certain class of selection problems is essentially equivalent to the fact that certain families of sets satisfy a weak version of Kuratowski’s reduction principle. Various special cases are discussed.

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Sur les théorèmes de separation dans la théorie des ensembles

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