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Semigroups with
identity on Peano continua
William W. Williams |
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Vol. 69 (1977), No. 2, 557–569
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Abstract |
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A continuum is cell-cyclic if every cyclic element is a finite dimensional cell. We show that any finite dimensional cell-cyclic Peano continuum X admits a commutative semigroup with zero and identity, and apply this to show that if X is also homogeneous it is a point. |
Mathematical Subject Classification 2000
Primary: 54F20, 54F20
Secondary: 22A15
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Milestones
Received: 3 November 1975
Published: 1 April 1977
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Authors |
| William W. Williams | |
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