Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

6-17-2019

Journal or Book Title

Computability

Volume

8

Issue

2

First Page

179

Last Page

189

DOI

10.3233/COM-180214

Abstract

When p is a computable real so that p⩾1, we define the isometry degree of a computable presentation of ℓp to be the least powerful Turing degree d by which it is d-computably isometrically isomorphic to the standard presentation of ℓp. We show that this degree always exists and that when p≠2 these degrees are precisely the c.e. degrees.

Comments

This is a manuscript of an article published as McNicholl, Timothy H., and Donald M. Stull. "The isometry degree of a computable copy of ℓp." Computability 8, no. 2 (2019): 179-189.The final publication is available at IOS Press through http://dx.doi.org/10.3233/COM-180214. Posted with permssion.

Copyright Owner

IOS Press and the authors

Language

en

File Format

application/pdf

Published Version

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