# name
Localization of fibrations with nilpotent fibre

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.isformatof[].value
Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 31.19]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Localization of fibrations with nilpotent fibre