Pathologies in cohomology of non-paracompact Hausdorff spaces
arXiv:1309.2524
Abstract
We construct a non-paracompact Hausdorff space for which Cech 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.
arXiv comment7 pages, 1 figure