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.

Comments

Accepted version. Topology and Its Applications, Vol. 261 (July 1, 2019): 7-21. DOI. © 2019 Elsevier. Used with permission.

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