Properties of α-expansions of topologies
The results of O. Njåstad for α-topologies together with the results of P. L. Sharma for anti-compact perfect Hausdorff spaces are combined to produce several counterexamples in one space.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000194 |
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doaj-48cc40474ccd4fdf8c38ae4b5f11f650 |
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Article |
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doaj-48cc40474ccd4fdf8c38ae4b5f11f6502020-11-24T23:48:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114120320410.1155/S0161171291000194Properties of α-expansions of topologiesDavid A. Rose0Department of Mathematics, East Central University, Ada 74820, OK, USAThe results of O. Njåstad for α-topologies together with the results of P. L. Sharma for anti-compact perfect Hausdorff spaces are combined to produce several counterexamples in one space.http://dx.doi.org/10.1155/S0161171291000194α-topologynowhere dense setcrowded spaceanti-compact space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
David A. Rose |
| spellingShingle |
David A. Rose Properties of α-expansions of topologies International Journal of Mathematics and Mathematical Sciences α-topology nowhere dense set crowded space anti-compact space. |
| author_facet |
David A. Rose |
| author_sort |
David A. Rose |
| title |
Properties of α-expansions of topologies |
| title_short |
Properties of α-expansions of topologies |
| title_full |
Properties of α-expansions of topologies |
| title_fullStr |
Properties of α-expansions of topologies |
| title_full_unstemmed |
Properties of α-expansions of topologies |
| title_sort |
properties of α-expansions of topologies |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1991-01-01 |
| description |
The results of O. Njåstad for α-topologies together with the results of P. L. Sharma for anti-compact
perfect Hausdorff spaces are combined to produce several counterexamples in one space. |
| topic |
α-topology nowhere dense set crowded space anti-compact space. |
| url |
http://dx.doi.org/10.1155/S0161171291000194 |
| work_keys_str_mv |
AT davidarose propertiesofaexpansionsoftopologies |
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