Effective Inseparability for Sequences of Sets
نویسندگان
چکیده
منابع مشابه
Effective Inseparability for Sequences of Sets
The notions of effective inseparability (for pairs of sets) and of double productivity are defined in [5]. In this paper are considered some extensions of these notions for sequences of sets, and also certain alternative formulations of them in the spirit of Mucnik [3]. Let M be a nonempty recursively enumerable (r.e.) set which will be fixed in each context. By a sequence of sets we mean a seq...
متن کاملCreativity and Effective Inseparability
Introduction. Our terminology is from [1]. We consider the collection of all r.e. (recursively enumerable) sets arranged in an effective sequence co1,co2,--•,«;,••• as in the Post-Kleene enumeration, i.e.,cü¡ is the set of all numbers satisfying the condition (3y)T1(i,x, y), where 7\(z,x,y) is the Kleene predicate (cf. [2]). A number set a. is called productive iff there exists a recursive func...
متن کاملEffective Inseparability in a Topological Setting
Effective inseparability of pairs of sets is an important notion in logic and computer science. We study the effective inseparability of sets which appear as index sets of subsets of an effectively given topological To-space and discuss its consequences. It is shown that for two disjoint subsets X and Y of the space one can effectively find a witness that the index set of X cannot be separated ...
متن کاملWijsman Statistical Convergence of Double Sequences of Sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
متن کاملTHE ENTROPIES OF THE SEQUENCES OF FUZZY SETS AND THE APPLICATIONS OF ENTROPY TO CARDIOGRAPHY
In this paper, rstly we have introduced to entropy of sequences of fuzzy sets and given sometheorems about it. Secondly, the waves P and T which appears in electrocardiograms weretransferred to fuzzy sets, by using denition of entropy for sequences of fuzzy sets, and somenumerical values were obtained for sequences of waves P and T. Thus any person can makea medical predictions for some cardiac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1965
ISSN: 0002-9939
DOI: 10.2307/2033896