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A note on the theorem of Baturov

Published online by Cambridge University Press:  17 April 2009

María Muñoz
María Muñoz
Affiliation:
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, (Murcia), Spain, e-mail: maria.mg@upct.es
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D.P. Baturov proved in ‘Subspaces of function spaces’ Vestnik Moskov University Series I (1987) that Lindelöf degree equals extent for subspaces of Cp(Χ) when Χ is a Lindelöf Σ-space. We prove that if the Lindelöf degree of the subspace is “big enough” the equality is true for a topological space Χ not necessarily Lindelöf Σ.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 76 , Issue 2 , October 2007 , pp. 219 - 225
Copyright
Copyright © Australian Mathematical Society 2007

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