Some fixed point results for $UV$ decompositions of compact metric spaces
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- by John Cobb and William Voxman PDF
- Proc. Amer. Math. Soc. 33 (1972), 156-160 Request permission
Abstract:
In this paper the preservation of the fixed point property under UV decompositions is studied. It is shown that if K is an n-dimensional complex with the fixed point property and G is $U{V^{n - 1}}$ decomposition of K, then K/G also will have the fixed point property. Furthermore, if X is a compact metric space with the fixed point property, and G is a $U{V^n}$ decomposition of X such that X/G may be embedded in a suitably small Euclidian space, ${R^m}$, then X/G retains the fixed point property.References
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- Edward Fadell, Recent results in the fixed point theory of continuous maps, Bull. Amer. Math. Soc. 76 (1970), 10–29. MR 271935, DOI 10.1090/S0002-9904-1970-12358-8
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 156-160
- MSC: Primary 54.60
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290340-4
- MathSciNet review: 0290340