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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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Generalized refinable maps
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by E. E. Grace PDF
Proc. Amer. Math. Soc. 98 (1986), 329-335 Request permission

Abstract:

Relationships among refinability, two successively greater generalizations, and a related property are studied, for maps between compacta.
References
  • Jo Ford and J. W. Rogers Jr., Refinable maps, Colloq. Math. 39 (1978), no. 2, 263–269. MR 522365, DOI 10.4064/cm-39-2-263-269
  • E. E. Grace, Refinable maps on graphs are near homeomorphisms, Topology Proc. 2 (1977), no. 1, 139–149 (1978). MR 540601
  • E. E. Grace, Refinable maps and the proximate fixed point property, Proceedings of the 1985 topology conference (Tallahassee, Fla., 1985), 1985, pp. 293–303. MR 876900
  • —, Proximately refinable maps and ${\theta ’_n}$-continua (in preparation). E. E. Grace and Eldon J. Vought, Refinable maps and ${\theta _n}$-continua (in preparation).
  • V. Klee, Stability of the fixed-point property, Colloq. Math. 8 (1961), 43–46. MR 126261, DOI 10.4064/cm-8-1-43-46
  • Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 329-335
  • MSC: Primary 54C10; Secondary 54E45, 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0854042-5
  • MathSciNet review: 854042