On the inverse image of Baire spaces

Mustafa Çiçek

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-10

Abstract:

In 1961, Z. Frolik proved that if f is an open and continuous mapping of a metrizable separable space X onto Baire space Y and if the point inverses are Baire spaces, then X is a Baire space. We give a generalization to semi-continuous and semi-open mapping of this theorem and extended it to the several types of mappings.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:650173

DOI: 10.1155/S0161171297000586

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