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Abstrakty
In this paper, we prove that mesocompactness is inversely preserved under paracompact mappings with regular images. As an application of this result, we prove that mesocompactness is inversely preserved under closed Lindelof mappings with regular domains and images, which answers a question on mesocompactness posed by S. Lin. We also give a counterexample to show that the regularity of domains in this application can not be omitted.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
27--32
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Department of Mathematics, Suzhou University Suzhou 215006, P. R. China, geying@pub.sz.jsinfo.net
Bibliografia
- [1] Bennett H.R., Lutzer D.J., A note on weak θ-refinability, Gen. Top. Appl, 2(1972), 49-54.
- [2] Boone J.R., Some characterizations of paracompactness in k-spaces, Fund. Math., 72(1971), 145-155.
- [3] Buhagiar D., Miwa T., Covering properties on maps, Questions Answers in General Topology, 16(1998), 53-66.
- [4] Burke D.K., Covering properties. Handbook of Set-Theoretic Topology, (K. Kunen and J. Vanghan, eds.), North-Holland, Amsterdam 1984, 347-422.
- [5] Engelking R., General Topology, Sigma Series in Pure Mathematics 6, (Heldermann, Berlin, revised ed.), 1989.
- [6] Junilla H.J.K., Three covering properties. Surveys in General Topology, Academic Press, 1980, 195-245.
- [7] Lin S., On spaces and mappings, J. of Suzhou Univ., 5(1989), 313-326.
- [8] Mancuso V.J., Mesocompactness and related properties. Pacific J. Math., 33(1970), 345-355.
- [9] Qu Z., Yasui Y., Relatively subparacompact spaces, Scientiae Mathematicae Japonicae, 54(2001), 281-287.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0059-0040