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An example in shape theory

Author: Smilka Zdravkovska
Journal: Proc. Amer. Math. Soc. 83 (1981), 594-596
MSC: Primary 55P55; Secondary 57N25
MathSciNet review: 627700
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Abstract: We give an example of a compactum which cannot be "improved" within its shape class so that its shape theory agrees with its homotopy theory.

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

  • [1] T. A. Chapman, Lectures on Hilbert cube manifolds, CBMS Regional Conf. Ser. in Math., no. 28, Amer. Math. Soc., Providence, R.I., 1976. MR 0423357 (54:11336)
  • [2] S. Ferry, A stable converse to the Vietoris-Smale Theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980), 369-386. MR 580894 (82c:55018)

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Keywords: Shape equivalence, shape morphism, Hilbert cube manifold
Article copyright: © Copyright 1981 American Mathematical Society

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