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Title: Fibrations and nullifications
Authors: Berrick, A.J. 
Dror Farjoun, E.
Issue Date: 2003
Citation: Berrick, A.J.,Dror Farjoun, E. (2003). Fibrations and nullifications. Israel Journal of Mathematics 135 : 205-220. ScholarBank@NUS Repository.
Abstract: The paper considers some aspects of the preservation of a fibration F → E → B by a localization functor L, meaning that LF → LE → LB is also a fibration. We obtain necessary and sufficient conditions for this, in case L is equivalent to a nullification functor Pw. Applications include the fact that if such a fibration is preserved by a nullification, then so too are all of its pullbacks. Another application is a homological criterion for a fibration to be preserved. No similar results are known for general localization functors.
Source Title: Israel Journal of Mathematics
ISSN: 00212172
Appears in Collections:Staff Publications

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