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Proceedings of the American Mathematical Society

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

 

 

A generalization of the dog bone space to $ E\sp{n}$


Author: W. T. Eaton
Journal: Proc. Amer. Math. Soc. 39 (1973), 379-387
MSC: Primary 57A15
DOI: https://doi.org/10.1090/S0002-9939-1973-0322877-4
MathSciNet review: 0322877
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Abstract: In this paper we construct an upper semicontinuous decomposition of $ {E^n}(n \geqq 3)$ into points and tame arcs such that the associated decomposition space is distinct from $ {E^n}$.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0322877-4
Keywords: Tame arcs, wild embeddings, cellular maps, upper semi-continuous
Article copyright: © Copyright 1973 American Mathematical Society