Algorithmic randomness on computable metric spaces and hyperspaces

In this text we shall be focusing on generalizing Martin-Löf randomness to computable metric spaces with arbitrary measure (for examples of this type of generalization see Gács [14], Rojas and Hoyrup [15]. The aim of this generalization is to define algorithmic randomness on the hyperspace of non-em...

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Bibliographic Details
Main Author: Birch, Thomas
Other Authors: Brattka, Vasco
Format: Dissertation
Language:English
Published: University of Cape Town 2016
Subjects:
Online Access:http://hdl.handle.net/11427/22093