Abstract
This chapter begins with the inductive construction (indexed by n) of the nth-stage of the Postnikov tower of a simply connected space. Next, the notion of localizing an abelian group at 0 is introduced, and the definition of a Q-space is given and then the existence and uniqueness of the localization of a space at 0 is established by localizing the Postnikov tower.
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Notes
- 1.
\(\tilde{\mathrm{H}}_{{\ast}} =\) reduced homology groups.
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© 2013 Springer Science+Business Media New York
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Griffiths, P., Morgan, J. (2013). Postnikov Towers and Rational Homotopy Theory. In: Rational Homotopy Theory and Differential Forms. Progress in Mathematics, vol 16. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-8468-4_8
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DOI: https://doi.org/10.1007/978-1-4614-8468-4_8
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-8467-7
Online ISBN: 978-1-4614-8468-4
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