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Precomplete equivalence relations in dominical categories

Author: Claudio Bernardi
Journal: Proc. Amer. Math. Soc. 98 (1986), 124-134
MSC: Primary 03D75
MathSciNet review: 848889
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Abstract: In this paper precomplete equivalence relations are introduced in dominical and recursion categories. After recalling definitions in $ \S2$, in $ \S3$ an analogue of Eršov's Fixed Point Theorem is proved, as well as the recursive inseparability of two disjoint (unions of) equivalence classes. In $ \S4$ "morphisms" between equivalence relations are discussed, while $ \S5$ is devoted to the construction of an example (a new characterization of precomplete equivalence relations is also supplied in Lemma 5).

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Article copyright: © Copyright 1986 American Mathematical Society