Quasiorders, Tolerance Relations and Corresponding “Partitions”
The paper deals with a generalization of the notion of partition for wider classes of binary relations than equivalences: for quasiorders and tolerance relations. The counterpart of partition for the quasiorders is based on a generalization of the notion of equivalence class while it is shown that such a generalization does not work in case of tolerances. Some results from [5] are proved in a much more simple way. The third kind of “partition” corresponding to tolerances, not occurring in [5], is introduced.
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1967 ◽
Vol 31
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pp. 177-179
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1966 ◽
Vol 25
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pp. 227-229
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1988 ◽
Vol 102
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pp. 79-81
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1987 ◽
Vol 45
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pp. 134-135
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1990 ◽
Vol 48
(3)
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pp. 358-359
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1996 ◽
Vol 5
(1)
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pp. 67-78
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1973 ◽
Vol 16
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pp. 201-212
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