Journal of Prime Research in Mathematics
Vol. 1 (2006), Issue 1, pp. 203 – 207
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
On some numerical invariants associated to a compact sets (in metric spaces)
Shahid Ahmad
School of Mathematical Sciences, GC University, Lahore, 68-B, New Muslim town,
Lahore, Pakistan.
\(^{1}\)Corresponding Author: shahidsms@gmail.com
Copyright © 2006 Shahid Ahmad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2006.
Abstract
In this note we associate to a compact subset of a metric space a subset of natural numbers. We give some interesting properties of this last subset. We also introduce a configuration matrix for a given compact set and propose a conjecture related to this.
Keywords:
Compact set, covering function, uniform covering, configuration matrix, conjecture.