| On compact-covering and sequence-covering images of metric spaces |
| Jing Zhang |
Abstract In this paper we study the characterizations of compact-covering and 1-sequence-covering (resp. 2-sequence-covering) images of metric spaces and give a positive answer to the following question: How to characterize first countable spaces whose each compact subset is metrizable by certain images of metric spaces?
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Keywords: Metrizable spaces; compact-covering maps; 1-sequence-covering maps; $so$-network; $snf$-countable spaces. |
MSC: 54C10, 54D70, 54E40, 54E20, 54E99 |
Pages: 97$-$107 |
Volume 64 , Issue 2 , 2012 |
