Title of article :
Pathologies in cohomology of non-paracompact Hausdorff spaces
Author/Authors :
Schrِer، نويسنده , , Stefan، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2013
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.
Keywords :
Noncompact covering properties , counterexamples , Sheaf cohomology
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
