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On the relation between lifting obstructions and ordinary obstructions

Christian Bohr
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Abstract

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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Christian Bohr. 1998-12-09. On the relation between lifting obstructions and ordinary obstructions. https://arxiv.org/abs/math/9812054

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