Large indecomposable continua with only one composant

Michel Smith

Vol. 86 (1980), No. 2, 593–600

DOI: 10.2140/pjm.1980.86.593

Abstract

David P. Bellamy has shown that there exist indecomposable Hausdorff continua with only one or only two composants. The continua that he constructs are small in the sense that they do not have more than 2^c points. In this paper his results are generalized; in particular it will be shown that if X is a Hausdorff continuum then X is a retract of an indecomposable continuum with exactly one composant and of an indecomposable continuum with exactly two composants.

Mathematical Subject Classification

Primary: 54F20, 54F20

Milestones

Received: 8 December 1976

Revised: 12 June 1979

Published: 1 February 1980