Inverse Limits with Bonding Functions Whose Graphs Are Connected
Abstract
First, answering a question by Roskaric and Tratnik, we present inverse sequences of simple triods or simple closed curves with set-valued bonding functions whose graphs are arcs and the limits are n-point sets. Second, we present a wide class of zero-dimensional spaces that can be obtained as the inverse limits of arcs with one set-valued function whose graph is an arc.
Recommended Citation
W. J. Charatonik and S. Sahan, "Inverse Limits with Bonding Functions Whose Graphs Are Connected," Topology and its Applications, vol. 210, pp. 16 - 21, Elsevier, Sep 2016.
The definitive version is available at https://doi.org/10.1016/j.topol.2016.05.019
Department(s)
Mathematics and Statistics
Keywords and Phrases
Inverse limit; Set-valued functions; Zero-dimensional
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2016 Elsevier, All rights reserved.
Publication Date
01 Sep 2016
