Title
THE RICE-SHAPIRO THEOREM IN COMPUTABLE TOPOLOGY
Abstract
We provide requirements on effectively enumerable T-0-spaces which guarantee that the Rice-Shapiro theorem holds for the computable elements of these spaces. We show that the relaxation of these requirements leads to the classes of effectively enumerable T-0-spaces where the Rice-Shapiro theorem does not hold. We propose two constructions that generate effectively enumerable T-0-spaces with particular properties from wn-families and computable trees without computable in finite paths. Using them we propose examples that give a flavor of this class.
Year
DOI
Venue
2017
10.23638/LMCS-13(4:30)2017
LOGICAL METHODS IN COMPUTER SCIENCE
Keywords
DocType
Volume
computable topology,computable elements,the Rice-Shapiro theorem
Journal
13
Issue
ISSN
Citations 
4
1860-5974
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Margarita V. Korovina18415.61
Oleg V. Kudinov210515.85