Computation and homotopical applications of induced crossed modules

DOI10.1016/S0747-7171(02)00103-7zbMath1026.55012arXivmath/0209068MaRDI QIDQ1867217

Ronald Brown, Christopher D. Wensley

Publication date: 2 April 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209068

zbMATH Keywords

crossed moduleshigher homotopyinduced crossed modules

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Category of groups (20J15) Homotopy groups (55Q99)

Related Items

Homotopy theory, and change of base for groupoids and multiple groupoids, Commutativity Degree of Crossed Modules, Braided regular crossed modules bifibered over regular groupoids, Isoclinism of crossed modules, Quadratic modules bifibred over nil(2)-modules, Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems

Uses Software

• GAP
• XMod
• Gpd

Cites Work

• Spaces with finitely many non-trivial homotopy groups
• A Dold-Kan theorem for crossed complexes
• Homotopy theory, and change of base for groupoids and multiple groupoids
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• MATHEMATICS IN THE 20TH CENTURY
• The classifying space of a crossed complex
• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
• ENUMERATION OF CAT¹-GROUPS OF LOW ORDER
• Théorie de Schreier supérieure
• On the 3-Type of a Complex
• Combinatorial homotopy. II
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