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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||URI:||http://scholarbank.nus.edu.sg/handle/10635/103267||ISSN:||00212172|
|Appears in Collections:||Staff Publications|
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