We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.
Bibliographical noteFunding Information:
Acknowledgments: We would like to thank both the anonymous referee and Ronnie Brown for helpful comments. This research was supported by BSF grant 2006039; the third author was also supported by NSF grant DMS-0206647 and a Calvin Research Fellowship (SDG).
- Higher homotopy operations
- Homotopy-commutative diagram
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology