On Projections and Limit Mappings of Inverse Systems of Compact Spaces
Abstract
For some classes K of mappings we discuss two problems connected with limits of inverse systems: (1) Does the condition that all bonding mappings are in K imply that all projections are in K? (2) Does the condition that all mappings between factor spaces of two given inverse systems are in K imply that the limit mapping between the inverse limit spaces is in K? We answer both these questions in the affirmative for the classes of monotone, of confluent and of weakly confluent mappings of compact spaces, and for some generalizations of these mappings.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "On Projections and Limit Mappings of Inverse Systems of Compact Spaces," Topology and its Applications, Elsevier, Jan 1983.
The definitive version is available at https://doi.org/10.1016/0166-8641(83)90002-0
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1983 Elsevier, All rights reserved.
Publication Date
01 Jan 1983
