An example in shape theory

Zdravkovska, Smilka

doi:10.1090/S0002-9939-1981-0627700-0

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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An example in shape theory
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by Smilka Zdravkovska PDF

Proc. Amer. Math. Soc. 83 (1981), 594-596 Request permission

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