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Israel Journal of Mathematics

, Volume 135, Issue 1, pp 205–220 | Cite as

Fibrations and nullifications

  • A. J. Berrick
  • E. Dror Farjoun
Article

Abstract

The paper considers some aspects of the preservation of a fibrationFEB by a localization functorL, meaning thatLFLELB is also a fibration. We obtain necessary and sufficient conditions for this, in caseL is equivalent to a nullification functorP W . 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.

Keywords

Fundamental Group Homotopy Group Local Space Homology Theory Connected Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© The Hebrew University Magnes Press 2003

Authors and Affiliations

  1. 1.Department of MathematicsNational University of SingaporeSingapore
  2. 2.Institute of MathematicsThe Hebrew University of Jerusalem Givat RamJerusalemIsrael

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