On nonacyclicity of the quotient space of \({\mathbb R}^{3}\) by the solenoid

DOI10.1016/S0166-8641(03)00054-3zbMath1026.54007OpenAlexW2143681289MaRDI QIDQ1403832

Umed H. Karimov, Dušan D. Repovš

Publication date: 4 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00054-3

zbMATH Keywords

Hawaiian earringsFundamental groupSimple connectivityProjective telescopeSolenoid

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Singular homology and cohomology theory (55N10) Homotopy groups of special spaces (55Q52)

Related Items (2)

An uncountable homology group, where each element is an infinite product of commutators ⋮ On fundamental groups of quotient spaces

Cites Work

• Characterizations of tree-like continua
• Chapman's classification of shapes. A proof using collapsing
• Homotopy properties of decomposition spaces
• On a method of constructing ANR-sets. An application of inverse limits
• On suspensions of noncontractible compacta of trivial shape
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On nonacyclicity of the quotient space of \({\mathbb R}^{3}\) by the solenoid