0000000000304957

AUTHOR

P. Urbaniec

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Set-Valued Generalizations of Baire′s Category Theorem

1995

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.

Discrete mathematicsApplied MathematicsMathematics::General TopologyBaire spaceBaire measureComplete metric spaceS categoryMetric spaceIterated functionMathematics::Category TheoryBaire category theoremOpen mapping theorem (functional analysis)AnalysisMathematicsJournal of Mathematical Analysis and Applications
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