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Cubical Abelian groups with connections are equivalent to chain complexes

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Publication:1397816
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DOI10.4310/HHA.2003.v5.n1.a2zbMath1025.18006arXivmath/0212157MaRDI QIDQ1397816

Ronald Brown, Philip J. Higgins

Publication date: 2 December 2003

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212157


zbMATH Keywords

chain complexescrossed complexesabelian group objectscubical \(\omega\)-categoriescubical sets with connectionsglobular \(\omega\)-categories


Mathematics Subject Classification ID

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Related Items (7)

Cubical $(\omega,p)$-categories ⋮ Higher homotopy operations and cohomology ⋮ Symmetric cubical sets ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems ⋮ The (tetra) category of pseudocategories in an additive 2-category with kernels ⋮ Homology groups of cubical sets with connections ⋮ On the notion of pseudocategory internal to a category with a 2-cell structure




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