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.

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.

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