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On Lindelöf \(\varSigma \)-Spaces

In Honour of Manuel López-Pellicer

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Descriptive Topology and Functional Analysis II (TFA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 286))

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Abstract

We revisit the notion of Lindelöf \(\varSigma \)-space giving a general overview about this question. For that, we deal with the Lindelöf property to introduce Lindelöf \(\varSigma \)-spaces in order to make a description of the “goodness” of such a type of spaces, making special emphasis in the duality between X and \(C_p(X)\) respect to some topological properties, more specifically, topological properties in which different cardinal functions are involved. Classical results are linked with more recent results.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena (Murcia), Spain

    María Muñoz-Guillermo

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  1. María Muñoz-Guillermo
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Correspondence to María Muñoz-Guillermo .

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Editors and Affiliations

  1. Department of Statistics, Mathematics and Informatics, Miguel Hernández University, Elche, Valencia, Spain

    Juan Carlos Ferrando

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Muñoz-Guillermo, M. (2019). On Lindelöf \(\varSigma \)-Spaces. In: Ferrando, J. (eds) Descriptive Topology and Functional Analysis II. TFA 2018. Springer Proceedings in Mathematics & Statistics, vol 286. Springer, Cham. https://doi.org/10.1007/978-3-030-17376-0_14

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