We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.
|Number of pages||35|
|Journal||Journal of Homotopy and Related Structures|
|State||Published - 1 Dec 2016|
Bibliographical noteFunding Information:
We wish to thank the referee for many useful comments, and Stefan Schwede for a helpful pointer on symmetric spectra. The research of the second author was supported by Israel Science Foundation Grant No. 47377, and he also wishes to thank the Max Planck Institute for Mathematics for their hospitality during several visits. The third author was supported by a Vatat fellowship during the period of this research.
© 2016, Tbilisi Centre for Mathematical Sciences.
- Chain complex
- Enriched category
- Higher order cohomology operation
- Higher order homotopy operation
- Massey product
- Monoidal model category
- Path object
- Toda bracket
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology