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Title: Localization of fibrations with nilpotent fibre
Author: Llerena, Irene
Keywords: Topologia algebraica
Universitat de Barcelona. Institut de Matemàtica
Issue Date: 1984
Publisher: Universitat de Barcelona
Series/Report no: Mathematics Preprint Series; 22
Abstract: The theory of localization for nilpotent spaces, parallel to that for nilpotent groups, has proved to be a powerful tool in algébrale topology. Recently, P. Hilton has developed a lo calization theory for relative nilpotent groups (5) and for nilpotent crossed-modules (6) which represents a first step in the construction of a localization theory for nilpotent fibrations and for fibrations with nilpotent fibre (weak nilpotent fibrations). A fibre map f:E —> B is said to be nilpotent if µ1E acts nilpotently on the homotopy groups of the fibre. Nilpotent fibre maps turn out to be the right relativization of nilpotent spaces, because their Moore-Postnikov Systems admit principal refinements [7] . In [8] we constructed a localization theory for nilpotent fibrations. In this note we consider the more general situation of fibrations with nilpotent fibre and develop a localization theory for such fibrations.
Note: Preprint enviat per a la seva publicació en una revista científica: Mathematische Zeitschrift. 1985. Vol. 188. p. 397-410. [{%22pages%22:[405],%22panX%22:0.542,%22panY%22:0.739,%22view%22:%22info%22,%22zoom%22:0.486}]
Note: Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 31.19]
Appears in Collections:Preprints de Matemàtiques - Mathematics Preprint Series

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