Acta Mathematica Hungarica

, Volume 118, Issue 1, pp 149–154

On quasi-Souslin Cc(X) spaces

Article

DOI: 10.1007/s10474-007-6195-2

Cite this article as:
Ferrando, J.C. & Moll, S. Acta Math Hung (2008) 118: 149. doi:10.1007/s10474-007-6195-2
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Abstract

We prove that the space Cc(X) of the real-valued continuous functions with the compact-open topology is quasi-Souslin iff it is K-analytic. This implies that Cc(X) is K-analytic iff it is dominated by the irrationals.

Key words and phrases

K-analytic space quasi-Souslin space domination by the irrationals 

2000 Mathematics Subject Classification

54C14 54D09 46A03 

Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Centro de Investigación OperativaUniversidad Miguel HernándezElche (Alicante)Spain
  2. 2.Departmento de Matemática AplicadaUniversidad PolitécnicaValenciaSpain

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