The Antisymmetry Betweenness Axiom and Hausdorff Continua

Authors

Paul Bankston, Marquette UniversityFollow

Document Type

Article

Language

eng

Format of Original

7 p.

Publication Date

10-9-2014

Publisher

Topology Proceedings

Source Publication

Topology Proceedings

Source ISSN

0146-4124

Abstract

An interpretation of betweenness on a set satisfies the antisymmetry axiom at a point a if it is impossible for each of two distinct points to lie between the other and a. In this paper we study the role of antisymmetry as it applies to the K-interpretation of betweenness in a Hausdorff continuum X, where a point c lies between points a and b exactly when every subcontinuum of X containing both a and b contains c as well.

Comments

Accepted version. Topology Proceedings, Vol. 45 (October 9, 2014): 189-215. Publisher link. © 2014 Topology Proceedings. Used with permission.

Recommended Citation

Bankston, Paul, "The Antisymmetry Betweenness Axiom and Hausdorff Continua" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 223.
https://epublications.marquette.edu/mscs_fac/223