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Set-Valued Generalizations of Baire′s Category Theorem

P. Urbaniec

subject

Discrete mathematicsApplied MathematicsMathematics::General TopologyBaire spaceBaire measureComplete metric spaceS categoryMetric spaceIterated functionMathematics::Category TheoryBaire category theoremOpen mapping theorem (functional analysis)AnalysisMathematics

description

Abstract We prove some generalizations of Baire′s category theorem for chains of iterates of multifunctions defined on Cech-complete spaces. In particular, we extend Lennard′s results stated for functions on complete metric spaces.

10.1006/jmaa.1995.1387http://dx.doi.org/10.1006/jmaa.1995.1387