Shape equivalence does not imply CE equivalence
HTML articles powered by AMS MathViewer
- by Steve Ferry PDF
- Proc. Amer. Math. Soc. 80 (1980), 154-156 Request permission
Abstract:
We give an example of shape equivalent compacta X and Y such that there is no compactum Z with cell-like maps $Z \twoheadrightarrow X$ and $Z \twoheadrightarrow Y$.References
- Steve Ferry, Homotopy, simple homotopy and compacta, Topology 19 (1980), no. 2, 101–110. MR 572578, DOI 10.1016/0040-9383(80)90001-4
- 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
- M. K. Fort Jr., Images of plane continua, Amer. J. Math. 81 (1959), 541–546. MR 106441, DOI 10.2307/2372912
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 154-156
- MSC: Primary 55P55; Secondary 54C10, 57Q10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0574526-1
- MathSciNet review: 574526