Torus-like continua which are not self-covering spaces

DOI10.1016/j.topol.2003.06.006zbMath1086.57003OpenAlexW2089684742MaRDI QIDQ2577128

Vlasta Matijević, Joško Mandić, Katsuya Eda

Publication date: 16 December 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.06.006

zbMATH Keywords

compact abelian groupcovering spacesolenoidcovering mapp-adic numberinverse sequencequadratic numberh-connected spaceself-covering spacetorsion-free group of rank 2torus-like continuum

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Miscellaneous applications of number theory (11Z05) Compact groups (22C05) Spectra in general topology (54B35) Shape theory in general topology (54C56) Shape theory (55P55) Torsion-free groups, finite rank (20K15) Shape groups (55Q07)

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Finite sheeted covering maps over 2-dimensional connected, compact Abelian groups ⋮ On multiplicity of maps ⋮ Finite index supergroups and subgroups of torsionfree Abelian groups of rank two. ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Unnamed Item ⋮ Fundamental groups and finite sheeted coverings

Cites Work

• A shape fibration with fibers of different shape
• Direct limit groups and the Keesling-Mardesic shape fibration
• Classifying finite-sheeted covering mappings of paracompact spaces
• On shape
• ε-Mappings Onto Polyhedra
• Classifying overlay structures of topological spaces
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