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History of Sequential Convergence Spaces

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Handbook of the History of General Topology

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

Abstract

In a sense, it all began with sequences. As a formal subject, topology goes back to Hausdorff (1914), while the axioms of sequential convergence and L-spaces were introduced by Fréchet (1906) and hence are of a more ancient vintage. But since the sequential closure operator need not be idempotent and sequences do not suffice to characterize topology, sequential convergence and other sequential notions play a minor part in general topology. However, they are natural, significant and nice.

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Author information

Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Košice, Slovakia

    R. Frič

Authors
  1. R. Frič
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Editor information

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

Additional information

Dedicated to Professor Josef Novák on his ninetieth birthday

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© 1997 Springer Science+Business Media Dordrecht

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Frič, R. (1997). History of Sequential Convergence Spaces. 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_16

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  • DOI: https://doi.org/10.1007/978-94-017-0468-7_16

  • 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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