De Gruyter Studies in Mathematics

1 total work

USCO and Quasicontinuous Mappings

by Lubica Hola, Dusan Holy, and Warren Moors

Published 25 October 2021

This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.