Campus Units

Mathematics, Computer Science

Document Type

Article

Publication Version

Submitted Manuscript

Publication Date

2013

Journal or Book Title

Proceedings of the American Mathematical Society

Volume

141

Issue

3

First Page

1041

Last Page

1053

DOI

10.1090/S0002-9939-2012-11385-1

Abstract

We show that there is a point on a computable arc that does not belong to any computable rectifiable curve. We also show that there is a point on a computable rectifiable curve with computable length that does not belong to any computable arc.

Comments

This is a manuscript of an article published as McNicholl, Timothy. "The power of backtracking and the confinement of length." Proceedings of the American Mathematical Society 141, no. 3 (2013): 1041-1053, doi:10.1090/S0002-9939-2012-11385-1. Posted with permission.

Copyright Owner

American Mathematical Society

Language

en

File Format

application/pdf

Published Version

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