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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |