Vol. 86, No. 2, 1980

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Large indecomposable continua with only one composant

Michel Smith

Vol. 86 (1980), No. 2, 593–600
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 2c 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
Authors
Michel Smith