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On the implicit function theorem in o-minimal structures

Volume 107 / 2015

Zofia Ambroży, Wiesław Pawłucki Banach Center Publications 107 (2015), 19-21 MSC: Primary 14P10; Secondary 32B20, 03C64, 14P15. DOI: 10.4064/bc107-0-2

Abstract

A local-global version of the implicit function theorem in o-minimal structures and a generalization of the theorem of Wilkie on covering open sets by open cells are proven.

Authors

  • Zofia AmbrożyInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    and
    Institute of Mathematics
    Jagiellonian University
    ul. Prof. St. Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail
  • Wiesław PawłuckiInstitute of Mathematics
    Jagiellonian University
    ul. Prof. St. Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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