A categorical approach to matrix Toda brackets
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- by K. A. Hardie, K. H. Kamps and H. J. Marcum PDF
- Trans. Amer. Math. Soc. 347 (1995), 4625-4649 Request permission
Abstract:
In this paper we give a categorical treatment of matrix Toda brackets, both in the pre- and post-compositional versions. Explicitly the setting in which we work is, à la Gabriel-Zisman, a $2$-category with zeros. The development parallels that in the topological setting but with homotopy groups replaced by nullity groups of invertible $2$-morphisms. A central notion is that of conjugation of $2$-morphisms. Our treatment of matrix Toda brackets is carried forward to the point of establishing appropriate indeterminacies.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 4625-4649
- MSC: Primary 55U35; Secondary 18D05, 55Q35
- DOI: https://doi.org/10.1090/S0002-9947-1995-1303119-9
- MathSciNet review: 1303119