Dendritic compactifications of certain dendritic spaces

Bennie Jake Pearson

Vol. 47 (1973), No. 1, 229–232

DOI: 10.2140/pjm.1973.47.229

Abstract

A dendritic space is a connected space in which every two points are separated by a third point. In this paper we describe a very natural method for obtaining a dendritic compactification of any connected space for which a dendritic compactification exists. The method is an extension of the familiar process of compactifying E¹ by adjoining −∞ and +∞.

Mathematical Subject Classification 2000

Primary: 54F50

Secondary: 54D30

Milestones

Received: 28 April 1972

Revised: 13 July 1972

Published: 1 July 1973