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http://hdl.handle.net/2445/96487
Title: | On the rationalization of the circle |
Author: | Casacuberta, Carles |
Keywords: | Teoria de l'homotopia Teoria de grups Homotopy theory Group theory |
Issue Date: | Jul-1993 |
Publisher: | American Mathematical Society (AMS) |
Abstract: | We give an example showing that, for a nilpotent group $G$ and a set of primes $P$, the $P$-localization homomorphism $l:G \to {G_P}$ need not induce an isomorphism in cohomology with arbitrary (twisted) ${{\mathbf{Z}}_P}$-module coefficients. From this fact we infer that, in the pointed homotopy category of connected CW-complexes, the inclusion of the subcategory of spaces whose higher homotopy groups are ${{\mathbf{Z}}_P}$-modules and whose fundamental group is uniquely ${P'}$-radicable does not admit a left adjoint. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-1993-1176479-3 |
It is part of: | Proceedings of the American Mathematical Society, 1993, vol. 118, num. 3, p. 995-1000 |
URI: | http://hdl.handle.net/2445/96487 |
Related resource: | http://dx.doi.org/10.1090/S0002-9939-1993-1176479-3 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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583755.pdf | 630.52 kB | Adobe PDF | View/Open |
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