Some fixed point results for decompositions of compact metric spaces
John Cobb and William Voxman
Proc. Amer. Math. Soc. 33 (1972), 156-160
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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 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 decomposition of X such that X/G may be embedded in a suitably small Euclidian space, , then X/G retains the fixed point property.
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- R. H. Bing, The elusive fixed point property, Amer. Math. Monthly 76 (1969), 119-132. MR 38 #5201. MR 0236908 (38:5201)
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- R. J. Knill, Cones, products and fixed points, Fund. Math. 60 (1967), 35-46. MR 35 #2270. MR 0211389 (35:2270)
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