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Pathologies in cohomology of non-paracompact Hausdorff spaces
Authors:Stefan Schrö  er
Affiliation:Mathematisches Institut, Heinrich-Heine-Universität, 40204 Düsseldorf, Germany
Abstract:We construct a non-paracompact Hausdorff space for which ?ech cohomology does not coincide with sheaf cohomology. Moreover, the sheaf of continuous real-valued functions is neither soft nor acyclic, and our space admits non-numerable principal bundles.
Keywords:55N30   54D20   54G20
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