Cell-like 0-dimensional decompositions of are -manifold factors

Authors:
R. J. Daverman and W. H. Row

Journal:
Trans. Amer. Math. Soc. **254** (1979), 217-236

MSC:
Primary 54B15; Secondary 57N99

MathSciNet review:
539916

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Abstract | References | Similar Articles | Additional Information

Abstract: The main result is the title theorem asserting that if *G* is any upper semicontinuous decomposition of into cell-like sets which is 0-dimensional, in the sense that the image of the nondegenerate elements in is 0-dimensional, then is shrinkable, and is homeomorphic to .

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DOI:
https://doi.org/10.1090/S0002-9947-1979-0539916-8

Keywords:
0-dimensional decomposition,
cell-like decomposition,
embedding dimension,
thin cubes with handles,
shrinkable decomposition,
null sequence decomposition

Article copyright:
© Copyright 1979
American Mathematical Society