The Effros Metric
Abstract
The concepts of the Effros metric and the Effros property are extended in such a way that a semigroup of surjective self mappings of a bounded metric space (in place of autohomeomorphism group) is used in the definitions. Relations between the Effros property for and -homogeneity are investigated. Special attention is paid to locally connected continua and the class of all continuous mappings between them. It is shown that local absolute retracts, as well as locally connected curves, have the Effros property for , while 2-dimensional locally connected continua do not have this property. A number of questions are asked.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "The Effros Metric," Topology and its Applications, Elsevier, Mar 2001.
The definitive version is available at https://doi.org/10.1016/S0166-8641(99)00203-5
Department(s)
Mathematics and Statistics
Keywords and Phrases
Effros metric; Effros property; continuum; dendrite; homogeneous; locally connected
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2001 Elsevier, All rights reserved.
Publication Date
01 Mar 2001
