Smash Products for Secondary Homotopy Groups |
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| Authors: | Hans-Joachim Baues Fernando Muro |
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| Institution: | (1) Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany;(2) Departament d’àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain |
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| Abstract: | 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.
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. |
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| Keywords: | Secondary homotopy group Square group Crossed module Smash product Lax symmetric monoidal functor Whitehead product Cup-one product Toda bracket |
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