Pavešić, P., Kent, C. A., Herfort, W., & Conner, G. R. (2025). Inverse limits of covering spaces. Fundamenta Mathematicae, 269(2), 99–129. https://doi.org/10.4064/fm231031-9-2
E101 - Institut für Analysis und Scientific Computing
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Zeitschrift:
Fundamenta Mathematicae
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ISSN:
0016-2736
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Datum (veröffentlicht):
2025
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Umfang:
31
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Verlag:
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
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Peer Reviewed:
Ja
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Keywords:
covering spaces; fundamental groups; path space; shape topology
en
Abstract:
Let X be a Peano continuum (i.e., a metric space that is compact, connected and locally connected). We show that every path-connected inverse limit of covering spaces over X is determined by its fundamental group and is homeomorphic to a quotient of the set of homotopy classes of based paths endowed with the shape topology.
