Abstract
V. Nall proved that connectedness is preserved under inverse limits if the bounding functions are unions of functions with connected images. We show that for such functions the projections from the graph onto domain are confluent and we investigate relationships between functions satisfying this or similar conditions with confluence or openness of projections.
Recommended Citation
W. J. Charatonik and D. Michalik, "Confluent Projections and Connectedness of Inverse Limits," Rocky Mountain Journal of Mathematics, vol. 51, no. 4, pp. 1189 - 1194, Project Euclid, Aug 2021.
The definitive version is available at https://doi.org/10.1216/RMJ.2021.51.1189
Department(s)
Mathematics and Statistics
Keywords and Phrases
Confluent; Connected; Inverse limit; Multi-valued function
International Standard Serial Number (ISSN)
1945-3795; 0035-7596
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Project Euclid, All rights reserved.
Publication Date
01 Aug 2021
