Titlebook: Beyond the Horizon of Computability; 16th Conference on C Marcella Anselmo,Gianluca Della Vedova,Arno Pauly Conference proceedings 2020 Spr

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Some Notes on Spaces of Ideals and Computable Topology,It was shown in [.] that the . introduced in [.] can be equivalently characterized as spaces of ideals in the following sense.

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Computable Analysis and Classification Problems,Suppose we are given a collection of mathematical objects such as the class of connected compact Polish groups or the set of all real numbers which are normal to some base.

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On the Interplay Between Inductive Inference of Recursive Functions, Complexity Theory and RecursivThe present paper surveys some results from the inductive inference of recursive functions, which are related to the characterization of inferrible function classes in terms of complexity theory, and in terms of recursive numberings. Some new results and open problems are also included.

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Degrees of Non-computability of Homeomorphism Types of Polish Spaces,There are continuum many homeomorphism types of Polish spaces. In particular, there is a Polish space which is not homeomorphic to any computably presented Polish space. We examine the details of degrees of non-computability of presenting homeomorphic copies of Polish spaces.

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https://doi.org/10.1007/978-3-658-23432-4sequences), it is in general not possible to do so subrecursively: conversions in general need to perform unbounded search. This raises the question of categorizing the pairs of representations between which either subrecursive conversion is possible, or is not possible..The purpose of this paper is

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