A relativized version of the notion of Degree spectrum of a structure with respect to finitely many abstract structures is presented, inspired by the notion of relatively intrinsic sets. The connection with the notion of Joint spectrum is studied. Some specific properties like Minimal Pair type theorem and the existence of Quasi-Minimal degree with respect to the Relative spectrum are shown.
机构:
Univ Sofia, Fac Math & Comp Sci, 5 James Bourchier Blvd, Sofia 1164, BulgariaUniv Sofia, Fac Math & Comp Sci, 5 James Bourchier Blvd, Sofia 1164, Bulgaria
Soskova, Alexandra A.
Soskov, Ivan N.
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机构:
Univ Sofia, Fac Math & Comp Sci, 5 James Bourchier Blvd, Sofia 1164, BulgariaUniv Sofia, Fac Math & Comp Sci, 5 James Bourchier Blvd, Sofia 1164, Bulgaria