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2014 Postnikov towers with fibers generalized Eilenberg-Mac Lane spaces
Kouyemon Iriye, Daisuke Kishimoto
Homology Homotopy Appl. 16(1): 139-157 (2014).


A generalized Postnikov tower (GPT) is defined as a tower of principal fibrations with the classifying maps into generalized Eilenberg–Mac Lane spaces. We study fundamental properties of GPT’s such as their existence, localization and length. We further consider the distribution of torsion in a GPT of a finite complex, motivated by the result of McGibbon and Neisendorfer. We also give an algebraic description of the length of a GPT of a rational space.


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Kouyemon Iriye. Daisuke Kishimoto. "Postnikov towers with fibers generalized Eilenberg-Mac Lane spaces." Homology Homotopy Appl. 16 (1) 139 - 157, 2014.


Published: 2014
First available in Project Euclid: 3 June 2014

zbMATH: 1295.55017
MathSciNet: MR3192768

Primary: 55P60 , 55S45

Keywords: generalized Eilenberg-Mac Lane space , Localization , Postnikov length , Postnikov tower

Rights: Copyright © 2014 International Press of Boston

Vol.16 • No. 1 • 2014
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