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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

CE-equivalence, $ UV\sp k$-equivalence and dimension of compacta


Author: Peter Mrozik
Journal: Proc. Amer. Math. Soc. 111 (1991), 865-867
MSC: Primary 55P55
MathSciNet review: 1057958
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Abstract: It is shown that for each $ k > 0$ there exists a finite-dimensional continuum $ X$ which is not $ {\text{U}}{{\text{V}}^k}$-equivalent, and therefore not CE-equivalent, to any continuum $ Y$ such that the dimension of $ Y$ is equal to the shape dimension of $ X$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1057958-4
PII: S 0002-9939(1991)1057958-4
Article copyright: © Copyright 1991 American Mathematical Society