Smash Products for Secondary Homotopy GroupsReport as inadecuate

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Applied Categorical Structures

, Volume 16, Issue 5, pp 551–616

First Online: 02 October 2007Received: 13 June 2006Accepted: 20 February 2007


We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.

KeywordsSecondary homotopy group Square group Crossed module Smash product Lax symmetric monoidal functor Whitehead product Cup-one product Toda bracket The second author was partially supported by the Spanish Ministry of Education and Science under MEC-FEDER grants MTM2004-01865 and MTM2004-03629, the postdoctoral fellowship EX2004-0616, and a Juan de la Cierva research contract.

Mathematics Subject Classifications 200055Q15 55Q35 55S45  Download to read the full article text

Author: Hans-Joachim Baues - Fernando Muro


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