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

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DOI Zbl

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 
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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     title = {Subparacompact {Inverse} {Images} of 2-subparacompact {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {115 },
     year = {2003},
     volume = {_N_S_73},
     number = {87},
     doi = {10.2298/PIM0373115G},
     zbl = {1050.54010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0373115G/}
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