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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A transitive map on $[0,1]$ whose inverse limit is the pseudoarc
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by Piotr Minc and W. R. R. Transue PDF
Proc. Amer. Math. Soc. 111 (1991), 1165-1170 Request permission

Abstract:

We construct a transitive map on $[0,1]$ so that the inverse limit of copies of $[0,1]$ with $f$ as the bonding map is a pseudoarc.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 1165-1170
  • MSC: Primary 54H20; Secondary 54F15, 58F08, 58F13
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1042271-1
  • MathSciNet review: 1042271