On closed inverse images of mesocompact spaces
2005
artykuł naukowy
angielski
- mesocompact space
- paracompact mapping
- closed Lindelöf mapping
- regular
EN In this paper, we prove that mesocompactness is inversely preserved under paracompact mappings with regular images. As an application of this result, we prove that mesocompactness is inversely preserved under closed Lindelof mappings with regular domains and images, which answers a question on mesocompactness posed by S. Lin. We also give a counterexample to show that the regularity of domains in this application can not be omitted.
27 - 32
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
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