On a Question of Closed Maps of S. Lin

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 4,  2010, pp.537-543
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.4.537
Title & Authors
On a Question of Closed Maps of S. Lin
Chen, Huaipeng;

Abstract
Let X be a regular $\small{T_1}$-space such that each single point set is a $\small{G_{\delta}}$ set. Denot hereditarily closure-preserving by HCP. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1. $D\; Keywords $\small{{\aleph}}$--spaces;k-networks;closed maps; Language English Cited by References 1. L. Foged, A characterization of closed images of metric spaces, Proc. Amer. Math. Soc., 95(1985), 487-490 2. G. Gruenhage, General metric spaces and metrization, in: M. Husek and J. Van Mill, Editors, Recent Progress in General topology, Chapter 7 240-274. 3. G. Gruenhage. Generalized metric spaces, in: K. Kunen and J. E. Vaughan, Eds., handbook of Set-Theoretic Topology 423-501. 4. N. Lasnev, Continuous decompositions and closed mappings of metric spaces, Sov. Math. Dokl., 165(1965), 756-758. 5. N. Lasnev, Closed mappings of metric spaces, Sov. Math. Dokl., 170(1966), 505-507. 6. S. Lin, A survey of the theory of$\aleph-spaces\$, Q and A in Gen. Top., 8(1990), 405-419.

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