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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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$k$-congruence orders for $E_{k}$
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by Grattan P. Murphy PDF
Trans. Amer. Math. Soc. 177 (1973), 405-412 Request permission

Abstract:

This paper generalizes the notion of congruence order for metric spaces to k-metric (k-dimensional metric) spaces. The k-congruence order of ${E_k}$ with respect to the class of oriented semi k-metric spaces is determined. An example shows that this result is sharp.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 177 (1973), 405-412
  • MSC: Primary 52A50
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0319059-3
  • MathSciNet review: 0319059