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Computable operators on regular sets

✍ Scribed by Martin Ziegler

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
209 KB
Volume
50
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

For regular sets in Euclidean space, previous work has identified twelve β€˜basic’ computability notions to (pairs of) which many previous notions considered in literature were shown to be equivalent. With respect to those basic notions we now investigate on the computability of natural operations on regular sets: union, intersection, complement, convex hull, image, and pre‐image under suitable classes of functions. It turns out that only few of these notions are suitable in the sense of rendering all those operations uniformly computable. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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