Covering properties for LQ𝒰s with nested bases
This paper deals with problems on LQ𝒰 spaces which have a nested base; among others we give conditions so that a space (X,τ1,τ2) admits an LQ𝒰𝒰 which generates τ1 and 𝒰−1τ2, and give necessary and sufficient conditions for a space to be quasi-metrizable, related to concrete covering properties. We a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004951 |
| Summary: | This paper deals with problems on LQ𝒰 spaces which
have a nested base; among others we give conditions so that a
space (X,τ1,τ2) admits an LQ𝒰𝒰 which generates τ1 and 𝒰−1τ2, and give
necessary and sufficient conditions for a space to be
quasi-metrizable, related to concrete covering properties. We also
give a Stone's type characterization of pairwise paracompactness
for some categories of LQ𝒰 spaces with nested bases. |
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| ISSN: | 0161-1712 1687-0425 |