Notes on spaces with a weak-development

• Autorzy: Ge Y.
• Języki publikacji: EN

Abstrakty

EN

Z. Li characterized spaces with a weak-development consisting of point-countable sfp-coveis by pseudo-sequence-covering, quotient, and π-s-image of metric spaces. In this paper, we omit "pseudo-sequence-covering" in the above result, and prove that a space has a weak-development consisting of point-countable sfp-covers iff it is a quotient, and TT-s-image of a metric space.

Słowa kluczowe

EN

weak-development; sfp-cover; quotient mapping

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 38
• Strony: 17--24
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Ge Y.

• Department of Mathematics, Suzhou University, Suzhou, 215006, P.R. China,

Bibliografia

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• [3] ENGELKING R., General Topology (revised and completed edition), Heldermann-Verlag, Berline, 1989.
• [4] GEY., Spaces with countable sn-networks, Comment Math. Univ. Carolinae, 45(2004), 169-176.
• [5] GE Y., On 7r-images of metric spaces, Ada Mathematica Academiae Paedagogicae Nyiregyhaziensis, 22(2006), 209-215.
• [6] IKEDA Y., Liu C., TANAKA Y., Quotient compact images of metric spaces and related matters, Topology Appl, 122(2002), 237-252.
• [7] Li Z., On 7r-s-images of metric spaces, International Journal of Mathematics and Mathematical Sciences, 7(2005), 1101-1107.
• [8] LIN S., YAN P., Sequence-covering maps of metric spaces, Topology Appl., 109(2001), 301-314.
• [9] PONOMAREV V.I., Axiom of countability and continuous mappings, Bull Polish Acad. Sci. Math., 8(1960), 127-133. [10] TANAKA Y., a-Hereditarily closure-preserving fc-networks and p-metrizability, Proc. Amer. Math. Soc., 112(1991), 283-290.