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http://hdl.handle.net/10077/4224| Title: | Bracket operations in the homotopy mytitlefont theory of a 2-category | Authors: | Hardie, K. A. Marcum, H. J. Oda, N. |
Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 33 (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. | URI: | http://hdl.handle.net/10077/4224 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.33 (2001) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| HardieMarcumOdaRendMat33.pdf | 496.69 kB | Adobe PDF | View/Open |
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