Homology, Homotopy and Applications

Postnikov towers with fibers generalized Eilenberg-Mac Lane spaces

Kouyemon Iriye and Daisuke Kishimoto

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Abstract

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.

Article information

Source
Homology Homotopy Appl., Volume 16, Number 1 (2014), 139-157.

Dates
First available in Project Euclid: 3 June 2014

Permanent link to this document
https://projecteuclid.org/euclid.hha/1401800076

Mathematical Reviews number (MathSciNet)
MR3192768

Zentralblatt MATH identifier
1295.55017

Subjects
Primary: 55S45: Postnikov systems, $k$-invariants 55P60: Localization and completion

Keywords
Postnikov tower generalized Eilenberg-Mac Lane space localization Postnikov length

Citation

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


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