New Pseudodistances Associated with Reparametrization Invariant Seminorms

Abstract

We consider pairs of a non-empty compact connected and locally connected Hausdorff space and a real-valued continuous function. Our aim is to measure the difference between this kind of the pairs. In this notes we introduce new pseudodistances between pairs associated with reparametrization invariant seminorms. We finish with an example where the use of this lower bound is illustrated.