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Proceedings of the American Mathematical Society

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

 

 

A new dimension function


Author: J. M. Aarts
Journal: Proc. Amer. Math. Soc. 50 (1975), 419-425
MSC: Primary 54F45
DOI: https://doi.org/10.1090/S0002-9939-1975-0370530-5
MathSciNet review: 0370530
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Abstract: A new inductive dimension function, Hind, is defined for hereditarily normal spaces. The countable and locally finite sum theorems for Hind are proved for hereditarily normal spaces. It is shown that Hind = Ind on the class of totally normal spaces.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0370530-5
Keywords: Inductive dimension, sum theorems
Article copyright: © Copyright 1975 American Mathematical Society