Let M be the Medvedev lattice: this paper investigates some filters and ideals (most of them already introduced by Dyment). If X is any of the filters or ideals considered, the questions concerning which we try to answer are: (1) is X prime? What is the cardinality of M/X ? Occasionally, we point out some general facts on the T-degrees or the partial degrees, by which these questions can be answered.
Sorbi, A. (1990). On some filters and ideals of the Medvedev lattice. ARCHIVE FOR MATHEMATICAL LOGIC, 30(1), 29-48 [10.1007/BF01793784].
On some filters and ideals of the Medvedev lattice
Sorbi A.
1990-01-01
Abstract
Let M be the Medvedev lattice: this paper investigates some filters and ideals (most of them already introduced by Dyment). If X is any of the filters or ideals considered, the questions concerning which we try to answer are: (1) is X prime? What is the cardinality of M/X ? Occasionally, we point out some general facts on the T-degrees or the partial degrees, by which these questions can be answered.
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https://hdl.handle.net/11365/1082646