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Proceedings of the American Mathematical Society

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

 

 

Generalized refinable maps


Author: E. E. Grace
Journal: Proc. Amer. Math. Soc. 98 (1986), 329-335
MSC: Primary 54C10; Secondary 54E45, 54G20
MathSciNet review: 854042
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Abstract: Relationships among refinability, two successively greater generalizations, and a related property are studied, for maps between compacta.


References [Enhancements On Off] (What's this?)

  • [1] Jo Ford and J. W. Rogers Jr., Refinable maps, Colloq. Math. 39 (1978), no. 2, 263–269. MR 522365
  • [2] E. E. Grace, Refinable maps on graphs are near homeomorphisms, Proceedings of the 1977 Topology Conference (Louisiana State Univ., Baton Rouge, La., 1977), I, 1977, pp. 139–149 (1978). MR 540601
  • [3] 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
  • [4] -, Proximately refinable maps and $ {\theta '_n}$-continua (in preparation).
  • [5] E. E. Grace and Eldon J. Vought, Refinable maps and $ {\theta _n}$-continua (in preparation).
  • [6] V. Klee, Stability of the fixed-point property, Colloq. Math. 8 (1961), 43–46. MR 0126261
  • [7] Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, v. 28, American Mathematical Society, New York, 1942. MR 0007095

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0854042-5
Keywords: Refinable map, proximately refinable map, weakly refinable map, proximate near homeomorphism, compactum
Article copyright: © Copyright 1986 American Mathematical Society