2021 | OriginalPaper | Buchkapitel
Computability of Subsets of Metric Spaces
verfasst von : Zvonko Iljazović, Takayuki Kihara
Erschienen in: Handbook of Computability and Complexity in Analysis
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We present a survey on computability of subsets of Euclidean space and, more generally, computability concepts on metric spaces and their subsets. In particular, we discuss computability of points in co-c.e. closed sets, representations of hyperspaces, Borel codes, computability of connectedness notions, classification of Polish spaces, computability of semicomputable sets, continua and manifolds, properties of computable images of a segment, and computability structures.