August 2021 Confluent projections and connectedness of inverse limits
Włodzimierz J. Charatonik, Daria Michalik
Rocky Mountain J. Math. 51(4): 1189-1194 (August 2021). DOI: 10.1216/rmj.2021.51.1189

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.

Citation

Download Citation

Włodzimierz J. Charatonik. Daria Michalik. "Confluent projections and connectedness of inverse limits." Rocky Mountain J. Math. 51 (4) 1189 - 1194, August 2021. https://doi.org/10.1216/rmj.2021.51.1189

Information

Received: 8 September 2020; Revised: 10 September 2020; Accepted: 23 December 2020; Published: August 2021
First available in Project Euclid: 5 August 2021

MathSciNet: MR4298839
zbMATH: 1476.54038
Digital Object Identifier: 10.1216/rmj.2021.51.1189

Subjects:
Primary: ‎54C60‎ , 54D05 , 54E45 , 54F15 , 54F17

Keywords: Confluent , connected , inverse limit , multi-valued function

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

Vol.51 • No. 4 • August 2021
Back to Top