Article ID Journal Published Year Pages File Type
4661542 Topology and its Applications 2006 12 Pages PDF
Abstract

Types of spaces are given on which every local connectivity function is a connectivity function, a connected function, or a Darboux function. A complete determination such spaces is obtained when the spaces are assumed to be arc-like continua or circle-like continua. Results provide answers to a question asked by Stallings.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology