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Maximal Classes of Topological Spaces and Domains Determined by Function Spaces

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Abstract

In this paper the question of what classes A of T 0-spaces should be paired with classes ℬ of domains in order that all function spaces [A→B] for A∈A and B∈ℬ are λ-compact domains is considered. It is shown that core compact spaces are paired with bounded complete domains and a class of topological spaces called RW-spaces (with finitely many components) is paired with the class of λ-compact pointed L-domains (L-domains).

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Jimmie D. Lawson

  2. Department of Mathematics, Yangzhou University, Yangzhou, 225002, P. R. China

    Luoshan Xu

Authors
  1. Jimmie D. Lawson
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  2. Luoshan Xu
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Lawson, J.D., Xu, L. Maximal Classes of Topological Spaces and Domains Determined by Function Spaces. Applied Categorical Structures 11, 391–402 (2003). https://doi.org/10.1023/A:1024493004302

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  • DOI: https://doi.org/10.1023/A:1024493004302

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