The closed mappings on "k"-semistratifiable spaces

• Autores: Shou Lin, Zhangyong Cai, Chuan Liu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 1, 2009, págs. 139-147
• Idioma: inglés
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• Resumen

  • In 1999, Y. Tanaka and C. Liu posed the following question: Let f be a closed mapping from a topological space X onto a topological space Y. Under what conditions on X or Y the boundary of each fiber of the mapping f has some nice properties? In this paper it was shown that if X is a k-, and k-semistratifiable space and Y is some special spaces then the boundary of each fiber of the mapping f is a Lindelöf subset of a compact subset. This improves some results about closed mappings on generalized metric spaces.