Abstract
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.
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© 2000 Springer-Verlag Berlin Heidelberg
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Ribes, L., Zalesskii, P. (2000). Inverse and Direct Limits. In: Profinite Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04097-3_1
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DOI: https://doi.org/10.1007/978-3-662-04097-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08632-8
Online ISBN: 978-3-662-04097-3
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