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The complements of lower cones of degrees and the degree spectra of structuresComputably enumerable (c.e.) sets
Downward density of exact degrees© 2015, Pleiades Publishing, Ltd. In this paper we study exact d.c.e. degrees, the class of d.c.e
On continuous selections of finite-valued set-valued mappingsSet-valued mappings with finite images are considered. For these mappings, a theorem
Positive Numberings in Admissible Sets such that there exists a positive computable A-numbering of the family of all A-c.e. sets, whereas any negative
Limitwise monotonic reducibility on sets and on pairs of sets© 2016, Allerton Press, Inc.We study limitwise monotonic sets and pairs of sets. We investigate
On Inductive Limits for Systems of C*-Algebras partially ordered set into the category of C*-algebras and their *-homomorphisms. In this case one has
On Simply-Open SetsThe aim of this paper is to continue study of simply-open sets, and we give some properties
CEA Operators and the Ershov Hierarchy enumerable (c.e.) degree $\bf a$ for which the class of all non-c.e. $CEA(\bf a)$ degrees does not contain 2
Model-theoretic properties of the m-c.e. degrees in the hierarchy of Δ 0 2-sets which is well known in the literature as Ershov Hierarchy. In particular, questions
Almost computably enumerable families of sets. Moreover, it is established that for any computably enumerable (c.e.) set A there exists afamily that is X-c.e
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