Subparacompact Inverse Images of 2-subparacompact Spaces
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 115
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: 2-subparacompactness, subparacompact mapping, closed Lindelof mapping
@article{10_2298_PIM0373115G,
author = {Ge Ying},
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/}
}
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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