Pathologies in cohomology of non-paracompact Hausdorff spaces (Q387226)
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scientific article; zbMATH DE number 6241366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pathologies in cohomology of non-paracompact Hausdorff spaces |
scientific article; zbMATH DE number 6241366 |
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Pathologies in cohomology of non-paracompact Hausdorff spaces (English)
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20 December 2013
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sheaf cohomology
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noncompact covering properties
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counterexamples
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This is a very interesting (and useful) work that enriches the realm of algebraic and general topology providing a pathologic example of a non-paracompact Hausdorff space for which Čech cohomology does not coincide with sheaf cohomology.NEWLINENEWLINEThe paper starts with the construction of the desired space and then it is shown that the space fulfills the desired features. Moreover, it is proved that the sheaf of continuous real-valued functions is neither soft nor acyclic, that the space is contractible and admits non-numerable principal bundles.
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