Local Connectedness of Inverse Limits
We prove a theorem that under some conditions local connectedness is preserved under set-valued inverse limits. The theorem generalizes Capel's theorem that local connectedness is preserved under (single-valued) inverse limits with monotone bonding functions and its set-valued analogue by James Kelly (see ). As a consequence we can characterize some set-valued inverse limits on intervals.
W. J. Charatonik and F. A. Mena, "Local Connectedness of Inverse Limits," Topology and its Applications, vol. 265, Elsevier B.V., Sep 2019.
The definitive version is available at https://doi.org/10.1016/j.topol.2019.106823
Mathematics and Statistics
Keywords and Phrases
Generalized inverse limit; Local connectedness
International Standard Serial Number (ISSN)
Article - Journal
© 2019 Elsevier B.V., All rights reserved.
01 Sep 2019