Classification of fiber bundles over Alexandroff spaces with T$_0$ fiber
Year: 2019
Type: preprint
Abstract: We introduce a variant of the Grothendieck construction by means of which we give a classification theorem for fiber bundles over Alexandroff spaces with T$_0$ fiber. As a corollary we obtain that any fiber bundle with T$_0$ fiber over a simply-connected Alexandroff space is trivial. In addition, we prove that any fiber bundle over an Alexandroff space with T$_0$ fiber is a fibration.
Source: arXiv (Cornell University)
Authors: Nicolás Cianci, Miguel Ottina
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2955053933