Homological Localization Towers for Groups and Pi Modules is popular PDF and ePub book, written by A. K. Bousfield in 1977, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homological Localization Towers for Groups and Pi Modules can be Read Online from any device for your convenience.
Homological Localization Towers for Groups and Pi Modules Book PDF Summary
This paper investigates algebraic homological localizations which have arisen in the homotopy theoretic study of localizations of spaces. It focuses on the "HR-localization" of groups and the "HZ localization" of modules over a group [capital Greek]Pi, where the coefficient ring [italic]R is allowed to be a subring of the rationals or a finite cyclic ring. The investigation is based on a construction of natural transfinite towers which eventually stabilize to the desired homological localizations. These towers are used to show that the HR-local groups form the smallest class of groups containing the trivial group, closed under inverse limits, and closed under central [italic]R-module extensions.
Detail Book of Homological Localization Towers for Groups and Pi Modules PDF
- Author : A. K. Bousfield
- Release : 30 September 1977
- Publisher : American Mathematical Soc.
- ISBN : 9780821821862
- Genre : Mathematics
- Total Page : 80 pages
- Language : English
- PDF File Size : 9,7 Mb
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