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Titlebook: Handbook of Computability and Complexity in Analysis; Vasco Brattka,Peter Hertling Book 2021 Springer Nature Switzerland AG 2021 Computati

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Bishop-Style Constructive Reverse MathematicsWe give a self-contained overview of the current state of Constructive Reverse Mathematics.
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https://doi.org/10.1007/978-3-0348-5954-7lated to qcb-spaces. The latter form a well-behaved subclass of topological spaces. In this chapter we give a survey of basic facts about Type Two Theory of Effectivity, admissibly represented spaces, qcb-spaces and effective qcb-spaces. Moreover, we discuss the relationship of qcb-spaces to other categories relevant to Computable Analysis.
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Computability of Subsets of Metric Spacesparticular, 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.
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,Eine Kinderlehre während der Nacht,s up to any given precision. This means that they are treated as the limits of computable sequences of rational numbers where an effective error estimation is often expected. Although such approximations exist for many constants, they do not exist for all constants. More precisely, approximations wi
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Eine Ueberraschung, aber keine angenehme,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
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