A general class of factors of

Author:
Leonard R. Rubin

Journal:
Trans. Amer. Math. Soc. **166** (1972), 215-224

MSC:
Primary 57A15

DOI:
https://doi.org/10.1090/S0002-9947-1972-0295314-X

Erratum:
Trans. Amer. Math. Soc. **177** (1973), 505.

MathSciNet review:
0295314

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Abstract: In this paper we prove that any upper semicontinuous decomposition of which is generated by a trivial defining sequence of cubes with handles determines a factor of . An important corollary to this result is that every 0-dimensional point-like decomposition of determines a factor of . In our approach we have simplified the construction of the sequence of shrinking homeomorphisms by eliminating the necessity of shrinking sets piecewise in a collection of *n*-cells, the technique employed by R. H. Bing in the original result of this type.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1972-0295314-X

Keywords:
Cubes with handles,
defining sequence,
trivial defining sequence,
universal covering space,
0-dimensional decomposition,
point-like decomposition,
cell-like spaces,
property UV

Article copyright:
© Copyright 1972
American Mathematical Society