A nonshrinkable decomposition of involving a null sequence of cellular arcs
Authors:
R. J. Daverman and J. J. Walsh
Journal:
Trans. Amer. Math. Soc. 272 (1982), 771784
MSC:
Primary 57N60; Secondary 54B15
MathSciNet review:
662066
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Abstract: This paper presents a decomposition of into points and a null sequence of cellular arcs such that is not a manifold; furthermore, the union of the nondegenerate elements from lies in a cell in and the image in of this union has 0dimensional closure. Examples of nonshrinkable decompositions with a null sequence of cellular arcs have been constructed in the case by D. S. Gillman and J. M. Martin and by R. H. Bing and M. Starbird. We construct another example in this dimension, for which all the arcs lie in the boundary of a crumpled cube , and then produce higher dimensional examples by spinning .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947198206620667
PII:
S 00029947(1982)06620667
Keywords:
Upper semicontinuous decomposition,
cellular,
shrinkable,
crumpled cube,
Disjoint Disks Property,
Boundary Mismatch Property,
spun decomposition,
eyebolt
Article copyright:
© Copyright 1982
American Mathematical Society
