Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-16T11:10:49.321Z Has data issue: false hasContentIssue false
  • English
  • Français

On the σ-class generated by open balls

Published online by Cambridge University Press:  01 July 1999

STEVE JACKSON  and
R. DANIEL MAULDIN
STEVE JACKSON
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203-5116 e-mail: jackson@unt.edu, e-mail: mauldin@dynamics.math.unt.edu
R. DANIEL MAULDIN
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203-5116 e-mail: jackson@unt.edu, e-mail: mauldin@dynamics.math.unt.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that in the finite dimensional space ℝd provided with a metric induced by a norm, the collection of Borel sets is the smallest collection containing the open balls and closed under complements and countable disjoint unions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 1 , July 1999 , pp. 99 - 108
Copyright
The Cambridge Philosophical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)