Article ID Journal Published Year Pages File Type
4658923 Topology and its Applications 2013 7 Pages PDF
Abstract
We construct a non-paracompact Hausdorff space for which Čech 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.
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Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Pathologies in cohomology of non-paracompact Hausdorff spaces
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