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Bracket operations in the homotopy mytitlefont theory of a 2-category
Hardie, K. A.
Marcum, H. J.
Oda, N.
2001
Abstract
We study properties of a class of secondary operations, similar to the classical Toda bracket, that are defined in the context of a 2-category with zeros. Specialised to the 2-category of based spaces, maps and tracks, the applications include new formulae for matrix Toda brackets and for a new operation that we call the box bracket. Sample computations for the brackets are given in the homotopy groups of spheres.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
33 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
K. A. Hardie, H. J. Marcum and N. Oda, "Bracket operations in the homotopy mytitlefont theory of a 2-category", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 33 (2001), pp. 19-70.
Languages
en
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