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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The equivalence of zero span and zero semispan
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by James Francis Davis PDF
Proc. Amer. Math. Soc. 90 (1984), 133-138 Request permission

Abstract:

In this paper we introduce the idea of the symmetric span of a continuum, and show that continua with zero symmetric span are in class $W$. Continua with zero span have zero symmetric span, but the converse does not hold. We also show that if every subcontinuum of the continuum $M$ is in class $W$ then the span of $M$ and the semispan of $M$ agree. These results are then applied to show that the properties of having zero span and of having zero semispan are equivalent.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 133-138
  • MSC: Primary 54F20; Secondary 54C10, 54F50, 54H25
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0722431-3
  • MathSciNet review: 722431