An example in shape theory
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- by Smilka Zdravkovska
- Proc. Amer. Math. Soc. 83 (1981), 594-596
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627700-0
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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
- T. A. Chapman, Lectures on Hilbert cube manifolds, Regional Conference Series in Mathematics, No. 28, American Mathematical Society, Providence, R.I., 1976. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. MR 0423357
- Steve Ferry, A stable converse to the Vietoris-Smale theorem with applications to shape theory, Trans. Amer. Math. Soc. 261 (1980), no. 2, 369–386. MR 580894, DOI 10.1090/S0002-9947-1980-0580894-1
Bibliographic Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 594-596
- MSC: Primary 55P55; Secondary 57N25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627700-0
- MathSciNet review: 627700