Inverse Limits with Bonding Functions Whose Graphs Are Connected
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.
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
Mathematics and Statistics
Keywords and Phrases
Inverse limit; Set-valued functions; Zero-dimensional
International Standard Serial Number (ISSN)
Article - Journal
© 2016 Elsevier, All rights reserved.
01 Sep 2016