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A History of Generalized Metrizable Spaces

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Handbook of the History of General Topology

Part of the book series: History of Topology ((HIPO,volume 2))

Abstract

Metrizable spaces, together with compact spaces, occupy a central position in general topology. Both classes of spaces have been generalized in a wide variety of ways. For example, locally compact and countably compact spaces are two well-known and especially useful generalizations of compact spaces. This paper is a history of the search for generalizations of metrizable spaces.

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Authors and Affiliations

  1. Mathematics Department, Duke University, Durham, NC, USA

    R. E. Hodel

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  1. R. E. Hodel
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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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Hodel, R.E. (1998). A History of Generalized Metrizable Spaces. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1756-4_6

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  • DOI: https://doi.org/10.1007/978-94-017-1756-4_6

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