## Abstract Say that a nonzero c. e. degree **__b__** is a quasi‐complement of a c. e. degree **__a__** if **__a__** ∩ **__b__** = **0** and **__a__** ∪ **__b__** is high. It is well‐known (due to Shore) that each cappable degree has a high quasi‐complement. However, by the existence of the almost
✦ LIBER ✦
Infima and complements in the lattice of quasi-uniformities
✍ Scribed by Eliza P. de Jager; Hans-Peter A. Künzi
- Book ID
- 108286358
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 170 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0166-8641
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The aim of this paper is to study those pairs of complementary equivalence relations on a fixed set which are maximal as families of mutually complementary equivalence relations. The existence of such pairs on uncountable sets was proved by Steprgns and Watson (1995). They conjectured that such pair