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Proceedings of the American Mathematical Society

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A nonshrinkable decomposition of $ S\sp{n}$ 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: The result derived is one of existence: there is a decomposition of the n-sphere $ {S^n}(n \geqslant 5)$ 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