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The Contributions of L. Vietoris and H. Tietze to the Foundations of General Topology

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Handbook of the History of General Topology

Part of the book series: History of Topology ((HIPO,volume 1))

Abstract

In his book on uniform structures and general topology, André Weil wrote in 1937 [31, footnote (1) on page 4]: “Since the composition of this work H. Cartan [7] has discovered the notion of filter which finally eliminates countability from topology by replacing the notion of sequence and permits important simplifications of the theory of uniform and compact spaces.”

Partially based on an interview with Prof. Vietoris on Dec. 16, 1993

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Authors and Affiliations

  1. Institut für Mathematik, A-6020, Innsbruck, Austria

    Heinrich Reitberger

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  1. Heinrich Reitberger
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Editors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    C. E. Aull

  2. Department of Mathematics and Computer Science, University of Antwerp, RUCA, Antwerp, Belgium

    R. Lowen

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© 1997 Springer Science+Business Media Dordrecht

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Reitberger, H. (1997). The Contributions of L. Vietoris and H. Tietze to the Foundations of General Topology. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0468-7_3

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  • DOI: https://doi.org/10.1007/978-94-017-0468-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4820-2

  • Online ISBN: 978-94-017-0468-7

  • eBook Packages: Springer Book Archive

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