Fundamental groups and finite sheeted coverings

DOI10.1016/j.jpaa.2009.05.011zbMath1181.55010OpenAlexW2014086740MaRDI QIDQ1040601

Vlasta Matijević, Louis Javier Hernandez Paricio

Publication date: 25 November 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.05.011

zbMATH Keywords

closed model categoryderived functors(pointed)covering spaceBorsuk-Čech topological fundamental groupBrown-Grossman-Quigley and Steenrod-Quigley homotopy groupsBrown-Grossman-Quigley fundamental grouprepresentations of groups and progroupsS-open subgroupSpanier fundamental topological group and progroupSteenrod-Quigley toplogical fundamental group.

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Shape theory (55P55) Proper homotopy theory (55P57) Homotopy groups of special spaces (55Q52) Topological categories, foundations of homotopy theory (55U40) Homotopy groups of special types (55Q70) Shape groups (55Q07)

Related Items (3)

Self-overlays and symmetries of Julia sets of expanding maps ⋮ On maps with continuous path lifting ⋮ The shape of the Julia set of an expanding rational map

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