International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 1, Pages 199-200
doi:10.1155/S0161171296000282

A note on metric preserving functions

Jozef Dobos and Zbigniew Piotrowski

Katedra Matematiky Sjf, Technická Univerzita, Letná 9, Ko {s}ice 040 01, Slovakia

Abstract

The purpose of this note is to study modifications of the Euclidean metric on IR with the following property. There is a monotone sequence of closed balls with empty intersection.