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Properties of countable separation and implicit function theorem

  • Cristina M. Di Bari
  • Pasquale Vetro
Article

Abstract

We consider some properties of countable separation for familiesA andD of subsets of a setX by means of elements of a fixed familyMP(X). We give necessary and sufficient conditions, in terms of measurability of some sets constructed by means of multifunctions, in order that the familiesA andD satisfy such a property. As an application we derive an implicit function theorem for functions ofCarathéodory-type.

Keywords

Topological Space Measurable Space Closed Subset Implicit Function Theorem Countable Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 1990

Authors and Affiliations

  • Cristina M. Di Bari
    • 1
  • Pasquale Vetro
    • 1
  1. 1.Dipartimento di Matematica ed ApplicazioniPalermo

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