Georgian Mathematical Journal 13 (2006), No. 3, 419--432
Copyright Heldermann Verlag 2006
The Second Obstruction Functor
Nodar Berikashvili
A. Razmadze Math. Institute, 1 M. Aleksidze Street, Tbilisi 0193, Georgia
berika@rmi.acnet.ge
A functor responsible for second obstruction problems is defined and investigated on the category of topological spaces. In terms of this functor we formulate and prove a classification theorem for maps, which is the reformulation of all known classification theorems for the second obstruction.
Keywords: Obstruction, homotopy, cohomology, cochain operation, k-invariant.
MSC: 55Q25, 55S20, 55S35, 55S37, 55S45
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