A nonshrinkable decomposition of determined by a null sequence of cellular sets

Author:
Robert J. Daverman

Journal:
Proc. Amer. Math. Soc. **75** (1979), 171-176

MSC:
Primary 57N15; Secondary 54B15, 57N60

DOI:
https://doi.org/10.1090/S0002-9939-1979-0529236-5

MathSciNet review:
529236

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Abstract | References | Similar Articles | Additional Information

Abstract: The result derived is one of existence: there is a decomposition of the *n*-sphere into points and a null sequence of cellular sets that is not shrinkable. In one form the implicit example leads to a nonmanifold decomposition space closely allied with the nonmanifold ``dogbone'' space developed by W. T. Eaton.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0529236-5

Keywords:
Cell-like decomposition,
null sequence,
cellular sets,
shrinkable,
crumpled *n*-cube,
disjoint disks property,
dogbone space

Article copyright:
© Copyright 1979
American Mathematical Society