Weak Univalence and Connectedness of Inverse Images of Continuous Functions

Abstract

A continuous function f with domain X and range f(X) in R n is weakly univalent if there is a sequence of continuous one-to-one functions on X converging to f uniformly on bounded subsets of X. In this article, we establish, under certain conditions, the connectedness of an inverse image f ?1 (q). The univalence results of Radulescu-Radulescu, Mor e… (More)
DOI: 10.1287/moor.24.1.255

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