Abstract:
Given a class M of mappings f between continua, near-M stands for the class of uniform limits of sequences of mappings from M. Let 2(f) and C(f) mean the induced mappings between hyperspaces. Relations are studied between the conditions: f is an element of near-M, 2(f) is an element of near-M and C(f) is an element of near-M. A special attention is paid to the classes M of open and of monotone mappings. (C) 2000 Elsevier Science B.V. All rights reserved.