Homology, Homotopy and Applications
Volume 16 (2014)
Postnikov towers with fibers generalized Eilenberg–Mac Lane spaces
Pages: 139 – 157
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.
Postnikov tower, generalized Eilenberg–Mac Lane space, localization, Postnikov length
2010 Mathematics Subject Classification