The coarse shape groups

DOI10.1016/j.topol.2009.12.005zbMath1192.55013OpenAlexW2076135703MaRDI QIDQ2268843

Nikola Koceić Bilan

Publication date: 9 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.12.005

zbMATH Keywords

shapeexpansionpolyhedroninverse systemtopological spacecoarse shapehomotopy pro-grouppro-categoryshape group\(n\)-shape connectedness\(\mathrm{pro}^*\)-category

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Homology and cohomology theories in algebraic topology (55N99) Shape theory (55P55)

Related Items (8)

On shape loop spaces ⋮ The finite coarse shape groups ⋮ The Hurewicz theorem in Sh◦* and Sh◦*² ⋮ On topological shape homotopy groups ⋮ Topological coarse shape homotopy groups ⋮ Unnamed Item ⋮ Shape theory ⋮ Functorial reducing \textit{pro*-Grp} category to \textit{pro-Grp}

Cites Work

• Unnamed Item
• Unnamed Item
• On some coarse shape invariants
• The induced homology and homotopy functors on the coarse shape category
• The coarse shape
• Various approaches to the fundamental groups

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