Homotopy 2-Types of Low Order

DOI10.1080/10586458.2014.912059zbMath1307.55004OpenAlexW2131375614MaRDI QIDQ5498924

Luyen van le, Graham J. Ellis

Publication date: 11 February 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2014.912059

zbMATH Keywords

crossed modulequasi-isomorphismhomotopy 2-type

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to algebraic topology (55-04) Classification of homotopy type (55P15)

Related Items (2)

Computing 3-dimensional groups: crossed squares and \(\mathrm{cat}^2\)-groups ⋮ On classifying simplicial modules

Uses Software

• XMod

Cites Work

• Computational homology of \(n\)-types
• Modular categories from finite crossed modules
• Crossed pointed categories and their equivariantizations
• Van Kampen theorems for diagrams of spaces
• Automorphisms of group extensions and differentials in the Lyndon-Hochschild-Serre spectral sequence
• Spaces with finitely many non-trivial homotopy groups
• Computing group resolutions.
• The fundamental crossed module of the complement of a knotted surface
• ENUMERATION OF CAT¹-GROUPS OF LOW ORDER
• On the 3-Type of a Complex

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