On quasi-Souslin C c (X) spaces |
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| Authors: | J. C. Ferrando S. Moll |
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| Affiliation: | (1) Centro de Investigación Operativa, Universidad Miguel Hernández, E-03202 Elche (Alicante), Spain;(2) Departmento de Matemática Aplicada, Universidad Politécnica, E-46022 Valencia, Spain |
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| Abstract: | We prove that the space C c (X) of the real-valued continuous functions with the compact-open topology is quasi-Souslin iff it is K-analytic. This implies that C c (X) is K-analytic iff it is dominated by the irrationals. Partially supported by the project MTM2005-01182 of the Spanish Ministry of Education and Science, co-financed by the European Community (Feder projects). |
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| Keywords: | K-analytic space quasi-Souslin space domination by the irrationals |
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