Subparacompact Inverse Images of 2-subparacompact Spaces
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 115

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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.
DOI : 10.2298/PIM0373115G
Classification : 54B05 54C10 54D10 54D20
Keywords: 2-subparacompactness, subparacompact mapping, closed Lindelof mapping
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     author = {Ge Ying},
     title = {Subparacompact {Inverse} {Images} of 2-subparacompact {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {115 },
     publisher = {mathdoc},
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     year = {2003},
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Ge Ying. Subparacompact Inverse Images of 2-subparacompact Spaces. Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 115 . doi: 10.2298/PIM0373115G

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