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On universal tree-like
continua
Jack Wyndall Rogers Jr. |
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Vol. 30 (1969), No. 3, 771–775
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Abstract |
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R. M. Schori has conjectured that if T is a tree, but not an arc, then there is no universal T-like continuum. We show that if G is a finite collection of trees and there is a universal G-like continuum, then each element of G is an arc. It then follows that if G is a finite collection of one-dimensional (connected) polyhedra, and there is a universal G-like continuum, then each element of G is an arc. |
Mathematical Subject Classification
Primary: 54.55
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Milestones
Received: 18 November 1968
Published: 1 September 1969
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Authors |
| Jack Wyndall Rogers Jr. | |
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