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Proceedings of the American Mathematical Society

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

 

 

Shrinking decompositions of $ E\sp{n}$ with countably many $ 1$-dimensional, star-like equivalent nondegenerate elements


Author: Terry L. Lay
Journal: Proc. Amer. Math. Soc. 79 (1980), 308-310
MSC: Primary 54B15; Secondary 57N37
DOI: https://doi.org/10.1090/S0002-9939-1980-0565360-7
MathSciNet review: 565360
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Abstract: It is shown that an upper semicontinuous decomposition of $ {E^n}(n \geqslant 1)$ with countably many 1-dimensional, star-like equivalent nondegenerate elements is shrinkable.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0565360-7
Keywords: Upper semicontinuous decomposition, shrinkable decomposition, shrinkability criterion, star-like equivalent
Article copyright: © Copyright 1980 American Mathematical Society