Document Type
Conference Proceeding
Language
eng
Format of Original
12 p.
Publication Date
2014
Publisher
Topology Proceedings
Source Publication
Topology Proceedings
Source ISSN
0146-4124
Abstract
An interpretation of betweenness on a set is gap free if each two distinct points of the set have a third point between them. In this paper we are interested in gap free betweenness relations naturally induced by the topology of Hausdorff continua. In particular, we say c lies between a and b in the K-interpretation precisely when every subcontinuum that contains both a and b also contains c. We explore the connection between K-gap freeness and hereditary unicoherence.
Recommended Citation
Bankston, Paul, "When Hausdorff Continua Have No Gaps" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 188.
https://epublications.marquette.edu/mscs_fac/188
Comments
Accepted version. Published as part of the proceedings of the conference, Summer Conference on General Topology and its Applications, 2014: 177-188. Publisher link. © 2014 Topology Proceedings. Used with permission.