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Listar Algebra por autor "Baues, Hans Joachim"
Mostrando ítems 1-5 de 5
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Artículo
Secondary homotopy groups
Baues, Hans Joachim; Muro Jiménez, Fernando (De Gruyter, 2008-07)Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track ...
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The algebra of secondary homotopy operations in ring spectra
Baues, Hans Joachim; Muro Jiménez, Fernando (London Mathematical Society, 2011)The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R ...
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The characteristic cohomology class of a triangulated category
Baues, Hans Joachim; Muro Jiménez, Fernando (2005)The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoid-enriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated category.
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The symmetric action on secondary homotopy groups
Baues, Hans Joachim; Muro Jiménez, Fernando (The Belgian Mathematical Society, 2008-11)We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
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Toda brackets and cup-one squares for ring spectra
Baues, Hans Joachim; Muro Jiménez, Fernando (Taylor & Francis, 2009)In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cup-one square in the homotopy groups of a commutative connective ring spectrum.