Cell-like decompositions of homogeneous continua
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- by James T. Rogers PDF
- Proc. Amer. Math. Soc. 87 (1983), 375-377 Request permission
Abstract:
Certain decompositions of homogeneous continua are shown to be cell-like. In particular, the aposyndetic decomposition described by F. B. Jones of a homogeneous, decomposable continuum is cell-like, and we prove that any homogeneous decomposable continuum admits a continuous decomposition into mutually homeomorphic, indecomposable, homogeneous, cell-like terminal continua so that the quotient space is an aposyndetic homogeneous continuum.References
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- David C. Wilson, Completely regular mappings and dimension, Bull. Amer. Math. Soc. 76 (1970), 1057–1061. MR 264658, DOI 10.1090/S0002-9904-1970-12558-7
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 375-377
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681852-7
- MathSciNet review: 681852