Abstract
We describe two ways to define higher order Toda brackets in a pointed simplicial model category D: one is a recursive definition using model categorical constructions, and the second uses the associated simplicial enrichment. We show that these two definitions agree, by providing a third, diagrammatic, description of the Toda bracket, and explain how it serves as the obstruction to rectifying a certain homotopy-commutative diagram in D.
| Original language | English |
|---|---|
| Pages (from-to) | 451-486 |
| Number of pages | 36 |
| Journal | Journal of Homotopy and Related Structures |
| Volume | 16 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2021 |
Bibliographical note
Publisher Copyright:© 2021, Tbilisi Centre for Mathematical Sciences.
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
Fingerprint
Dive into the research topics of 'Higher order Toda brackets'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver