Finite choice, convex choice and finding roots

We investigate choice principles in the Weihrauch lattice for finite sets on the one hand, and convex sets on the other hand. Increasing cardinality and increasing dimension both correspond to increasing Weihrauch degrees. Moreover, we demonstrate that the dimension of convex sets can be characteriz...

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Bibliographic Details
Main Authors: Stéphane Le Roux, Arno Pauly
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2015-12-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1607/pdf