Browsing Algebra by Subject 

Browsing Algebra by Subject "crossed module"

Now showing items 1-3 of 3

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      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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      Smash products for secondary homotopy groups 

      Bauer, Hans Joachim; Muro Jiménez, Fernando (Springer, 2008-10)
      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.
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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.