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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Inverse and Direct Limits
verfasst von : Luis Ribes, Pavel Zalesskii
Erschienen in: Profinite Groups
Verlag: Springer Berlin Heidelberg
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In this section we define the concept of inverse (or projective) limit and establish some of its elementary properties. Rather than developing the concept and establishing those properties under the most general conditions, we restrict ourselves to inverse limits of topological spaces or topological groups. We leave the reader the task of extending and translating the concepts and results obtained here to other objects such as sets, (topological) rings, modules, graphs…, or to more general categories.