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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Cells and cellularity in infinite-dimensional normed linear spaces


Author: R. A. McCoy
Journal: Trans. Amer. Math. Soc. 176 (1973), 401-410
MSC: Primary 57A17; Secondary 57A60
MathSciNet review: 0383419
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Abstract: Certain concepts such as cells, cellular sets, point-like sets, and decomposition spaces are studied and related in normed linear spaces. The relationships between these concepts in general resemble somewhat the corresponding relationships in Euclidean space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0383419-5
PII: S 0002-9947(1973)0383419-5
Keywords: Normed linear spaces, open and closed cells, cellular sets, point-like sets, decomposition spaces, Hilbert space, annulus conjecture, monotone union theorem, shape of a point
Article copyright: © Copyright 1973 American Mathematical Society