A constructive approach to higher homotopy operations

David Blanc, Mark W. Johnson, James M. Turner

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationHomotopy Theory
Subtitle of host publicationTools and Applications
EditorsDaniel G. Davis, Mark W. Johnson, Charles Rezk, Hans-Werner Henn, J. F. Jardine
PublisherAmerican Mathematical Society
Pages21-74
Number of pages54
ISBN (Print)9781470442446
DOIs
StatePublished - 2019
EventConference on Homotopy Theory: Tools and Applications, 2017 - Urbana, United States
Duration: Jul 17 2017Jul 21 2017

Publication series

NameContemporary Mathematics
Volume729
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceConference on Homotopy Theory: Tools and Applications, 2017
Country/TerritoryUnited States
CityUrbana
Period7/17/177/21/17

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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