Inverse limits, inverse limit hulls and crossovers

摘要

In this paper several characterizations of subspaces of products of countably many compact metric spaces that are inverse limits of inverse sequences are given. These characterizations are obtained both for inverse sequences with continuous single-valued bonding functions and for inverse sequences with upper semicontinuous set-valued bonding functions. The proofs are based on use of crossovers and inverse limit hulls. (C) 2015 Elsevier B.V. All rights reserved.