On the relation between lifting obstructions and ordinary obstructions

Details On the relation between lifting obstructions and ordinary obstructions On the relation between lifting obstructions and ordinary obstructions

1998-12-09

arxiv.org/abs/math/9812054v1

Mathematics

Algebraic Topology

LaTeX, 9 pages. To appear in Top. Appl

Scientific paper

We consider partial liftings of maps at fibrations and compare the primary obstruction to extend the lifting with the obstruction to extend the lifting as a simple map into the total space. A relation between these two obstructions is proved for the case when the fiber is an Eilenberg-MacLane space. Furthermore it is shown that this result specialises to well known facts about secondary obstructions.

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