@inbook{eabf29511c0c4f479874221a090abb5e,
title = "A constructive approach to higher homotopy operations",
abstract = "In this paper we provide an explicit general construction of higher homotopy operations in model categories, which include classical examples such as (long) Toda brackets and (iterated) Massey products, but also cover unpointed operations not usually considered in this context. We show how such operations, thought of as obstructions to rectifying a homotopy-commutative diagram, can be defined in terms of a double induction, yielding intermediate obstructions as well.",
keywords = "Higher homotopy operations, Homotopy-commutative diagram, Obstructions",
author = "David Blanc and Johnson, {Mark W.} and Turner, {James M.}",
note = "Funding Information: 0.1. Acknowledgements. We wish to thank the referee and editor for their detailed and pertinent comments. The research of the first author was supported by Israel Science Foundation grants 74/11 and 770/16, and the third author by National Science Foundation grant DMS-1207746. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.; Conference on Homotopy Theory: Tools and Applications, 2017 ; Conference date: 17-07-2017 Through 21-07-2017",
year = "2019",
doi = "https://doi.org/10.1090/conm/729/14690",
language = "English",
isbn = "9781470442446",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "21--74",
editor = "Davis, {Daniel G.} and Johnson, {Mark W.} and Charles Rezk and Hans-Werner Henn and Jardine, {J. F.}",
booktitle = "Homotopy Theory",
address = "United States",
}