Please use this identifier to cite or link to this item:
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. |
Type: | Article | 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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| HardieMarcumOdaRendMat33.pdf | 496.69 kB | Adobe PDF |  View/Open |
CORE Recommender
Page view(s) 20
971
checked on Feb 6, 2023
Download(s) 50
292
checked on Feb 6, 2023
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.