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Zeitschriftenartikel:

G.R. Conner, W. Herfort, P. Pavesić:
"Some anomalous examples of lifting spaces";
Topology and its Applications (eingeladen), 239 (2018), S. 234 - 243.



Kurzfassung deutsch:
An inverse limit of a sequence of covering spaces over a given space X is not, in general, a covering space over X 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 fibre 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.

Kurzfassung englisch:
An inverse limit of a sequence of covering spaces over a given space X is not, in general, a covering space over X 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 fibre 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.

Schlagworte:
Fibrations Topological dynamics Morse-Thue system Inverse spectra


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.topol.2018.02.027


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.