Article ID Journal Published Year Pages File Type
4660373 Topology and its Applications 2010 12 Pages PDF
Abstract

We investigate the structure of the collection of terminal subcontinua in homogeneous continua. The main result is a reduction of this structure to six specific types. Three of these types are of one-dimensional spaces, and examples representing these types are known. It is not known whether higher dimensional examples having non-trivial terminal subcontinua and representing the three remaining types exist.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology