A countable space with an uncountable fundamental group

DOI10.2140/involve.2019.12.381zbMath1416.57001OpenAlexW2913795931WikidataQ128445178 ScholiaQ128445178MaRDI QIDQ1731020

Luis Matos, Jeremy Thomas Brazas

Publication date: 6 March 2019

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7f213ca31545ee72d889ef9bb1445ed1a0a8fcfe

zbMATH Keywords

fundamental groupcountable topological spaceHawaiian earringfinite topological spacecoarse Hawaiian earring

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Fundamental group, presentations, free differential calculus (57M05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Homotopy groups of special spaces (55Q52)

Cites Work

• Unnamed Item
• The combinatorial structure of the Hawaiian earring group
• Algebraic topology of finite topological spaces and applications
• Simple homotopy types and finite spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Homotopy types of one-dimensional Peano continua
• Finite Topological Spaces

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