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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Self-universal crumpled cubes and a dogbone space


Author: E. H. Anderson
Journal: Proc. Amer. Math. Soc. 36 (1972), 280-282
MSC: Primary 57A10
MathSciNet review: 0310891
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Abstract: The question of whether each self-universal crumpled cube is universal is answered negatively by presenting an example of a dogbone space which is not topologically $ {E^3}$ but which can be expressed as a sewing of two crumpled cubes, one of which is self-universal.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0310891-3
Keywords: Crumpled cube, upper semicontinuous decomposition, $ {E^3}$
Article copyright: © Copyright 1972 American Mathematical Society