Journal of Prime Research in Mathematics

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:


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.


Compact set, covering function, uniform covering, configuration matrix, conjecture.