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Stochastic Limit TheoryAn Introduction for Econometricians$
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James Davidson

Print publication date: 1994

Print ISBN-13: 9780198774037

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198774036.001.0001

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Topology

Topology

Chapter:
(p.93) 6 Topology
Source:
Stochastic Limit Theory
Author(s):

James Davidson

Publisher:
Oxford University Press
DOI:10.1093/0198774036.003.0006

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

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