Electronic Version 19 (1994), 129-148

James Keesling

Let X be a locally compact metric space with proper metric d. In this paper it is shown that under very general conditions the 1-dimensional Cech cohomology of the Higson compactification contains a subgroup isomorphic to the additive real numbers. This is shown to be true for the Higson corona as well. These results are used to give a general class of counterexamples to a conjecture due to N. Higson concerning the Higson compactification.

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volume 19: table of contents
topology proceedings Electronic Version