Chapter

Topology

James Davidson

in Stochastic Limit Theory

Published in print October 1994 | ISBN: 9780198774037
Published online November 2003 | e-ISBN: 9780191596117 | DOI: http://dx.doi.org/10.1093/0198774036.003.0006

Series: Advanced Texts in Econometrics

 Topology

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This chapter discusses topological spaces and associated concepts, including first‐ and second‐countability, compactness, and separation properties. Weak topologies are defined. The case of product spaces and the product topology are treated, the Tychonoff theorem, and ideas of embedding, compactification, and metrization.

Keywords: base; compactness; countability; embedding; metrization; product space; separation; topological space; topology; weak topology

Chapter.  9294 words.  Illustrated.

Subjects: Econometrics and Mathematical Economics

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