Some anomalous examples of lifting spaces
General Topology
2017-08-04 v1 Geometric Topology
Abstract
An inverse limit of a sequence of covering spaces over a given space is not, in general, a covering space over but is still a lifting space, i.e. a Hurewicz fibration with unique path lifting property. Of particular interest are inverse limits of finite coverings (resp. finite regular coverings), which yield fibrations whose fiber is homeomorphic to the Cantor set (resp. profinite topological group). To illustrate the breadth of the theory, we present in this note some curious examples of lifting spaces that cannot be obtained as inverse limits of covering spaces.
Keywords
Cite
@article{arxiv.1708.00877,
title = {Some anomalous examples of lifting spaces},
author = {Gregory R. Conner and Wolfgang Herfort and Petar Pavešić},
journal= {arXiv preprint arXiv:1708.00877},
year = {2017}
}
Comments
To the Memory of Professor Sibe Marde\v{s}i\'{c}