PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 73(87), pp. 115-120 (2003)

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SUBPARACOMPACT INVERSE IMAGES OF 2-SUBPARACOMPACT SPACES

Ge Ying

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

Abstract: We prove that subparacompact mappings inversely preserve 2-subparacompactness. As some applications of the above result, we obtain that both perfect mappings and closed Lindelof regular mappings inversely preserve 2-subparacompactness, which answer a question on 2-subparacompactness posed by Qu and Yasui affirmatively. Also we give a counterexample to show that closed Lindelof mappings do not inversely preserve 2-subparacompactness.

Keywords: 2-subparacompactness; subparacompact mapping; closed Lindelof mapping

Classification (MSC2000): 54B05; 54C10; 54D10; 54D20

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Electronic version published on: 1 Jan 1970. This page was last modified: 14 Apr 2004.

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