Document Type
Article
Language
eng
Publication Date
7-1-2019
Publisher
Elsevier
Source Publication
Topology and Its Applications
Source ISSN
0166-8641
Abstract
Any space homeomorphic to one of the standard subcontinua of the Stone-Čech remainder of the real half-line is called an ultra-arc. Alternatively, an ultra-arc may be viewed as an ultracopower of the real unit interval via a free ultrafilter on a countable set. It is known that any continuum of weight is a continuous image of any ultra-arc; in this paper we address the problem of which continua are continuous images under special maps. Here are some of the results we present.
Recommended Citation
Bankston, Paul, "On Continuous Images of Ultra-Arcs" (2019). Mathematics, Statistics and Computer Science Faculty Research and Publications. 630.
https://epublications.marquette.edu/mscs_fac/630
ADA Accessible Version
Comments
Accepted version. Topology and Its Applications, Vol. 261 (July 1, 2019): 7-21. DOI. © 2019 Elsevier. Used with permission.