Topological properties of spaces ordered by preferences
In this paper, we analyze the main topological properties of a relevant class of topologies associated with spaces ordered by preferences (asymmetric, negatively transitive binary relations). This class consists of certain continuous topologies which include the order topology. The concept of satura...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299220170 |
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| _version_ | 1832567674486390784 |
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| author | J. C. R. Alcantud |
| author_facet | J. C. R. Alcantud |
| author_sort | J. C. R. Alcantud |
| collection | DOAJ |
| description | In this paper, we analyze the main topological properties of a
relevant class of topologies associated with spaces ordered by preferences
(asymmetric, negatively transitive binary relations). This class consists
of certain continuous topologies which include the order topology. The
concept of saturated identification is introduced in order to provide a
natural proof of the fact that all these spaces possess topological
properties analogous to those of linearly ordered topological spaces,
inter alia monotone and hereditary normality, and complete regularity. |
| format | Article |
| id | doaj-art-ab3b7b70db4c4820b644999337a65c9e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab3b7b70db4c4820b644999337a65c9e2025-02-03T01:00:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-01221172710.1155/S0161171299220170Topological properties of spaces ordered by preferencesJ. C. R. Alcantud0Facultad de Economia y Empresa, Universidad de Salamanca, Salamanca E 37008 , SpainIn this paper, we analyze the main topological properties of a relevant class of topologies associated with spaces ordered by preferences (asymmetric, negatively transitive binary relations). This class consists of certain continuous topologies which include the order topology. The concept of saturated identification is introduced in order to provide a natural proof of the fact that all these spaces possess topological properties analogous to those of linearly ordered topological spaces, inter alia monotone and hereditary normality, and complete regularity.http://dx.doi.org/10.1155/S0161171299220170Saturated identificationsorder topologyGPO-spacesPOTSmonotonically normalnormalregular. |
| spellingShingle | J. C. R. Alcantud Topological properties of spaces ordered by preferences International Journal of Mathematics and Mathematical Sciences Saturated identifications order topology GPO-spaces POTS monotonically normal normal regular. |
| title | Topological properties of spaces ordered by preferences |
| title_full | Topological properties of spaces ordered by preferences |
| title_fullStr | Topological properties of spaces ordered by preferences |
| title_full_unstemmed | Topological properties of spaces ordered by preferences |
| title_short | Topological properties of spaces ordered by preferences |
| title_sort | topological properties of spaces ordered by preferences |
| topic | Saturated identifications order topology GPO-spaces POTS monotonically normal normal regular. |
| url | http://dx.doi.org/10.1155/S0161171299220170 |
| work_keys_str_mv | AT jcralcantud topologicalpropertiesofspacesorderedbypreferences |