Connectivity and homology of finite subset spaces of cardinality at most four

DOI10.1016/j.topol.2011.05.034zbMath1226.54014OpenAlexW2013919113MaRDI QIDQ554435

Walid Taamallah

Publication date: 4 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.05.034

zbMATH Keywords

homologyconnectivityfinite subsets

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Rational homotopy theory (55P62) Hyperspaces in general topology (54B20) Symmetric products and cyclic products in algebraic topology (55S15)

Related Items (1)

Connectivity and homology of finite subset spaces of cardinality at most four

Cites Work

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• Connectivity and homology of finite subset spaces of cardinality at most four
• Remarks on finite subset spaces
• Finite subset spaces of graphs and punctured surfaces
• Connectivity of finite subset spaces of cell complexes
• Finite subset spaces of \(S^1\)
• Decomposition theorems for \(S(n)\)-complexes
• A quick proof of the rational Hurewicz theorem and a computation of the rational homotopy groups of spheres
• The Homology of Symmetric Products

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