Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 16, Number 1 (2014), 139-157.
Postnikov towers with fibers generalized Eilenberg-Mac Lane spaces
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.
Homology Homotopy Appl., Volume 16, Number 1 (2014), 139-157.
First available in Project Euclid: 3 June 2014
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Iriye, Kouyemon; Kishimoto, Daisuke. Postnikov towers with fibers generalized Eilenberg-Mac Lane spaces. Homology Homotopy Appl. 16 (2014), no. 1, 139--157. https://projecteuclid.org/euclid.hha/1401800076