Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

A categorical approach to matrix Toda brackets


Authors: K. A. Hardie, K. H. Kamps and H. J. Marcum
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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55U35, 18D05, 55Q35

Retrieve articles in all journals with MSC: 55U35, 18D05, 55Q35


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1995-1303119-9
Article copyright: © Copyright 1995 American Mathematical Society

American Mathematical Society