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On inductive limits of measure spaces

✍ Scribed by N. D. Macheras

Book ID
112908286
Publisher
Springer Milan
Year
1995
Tongue
Italian
Weight
613 KB
Volume
44
Category
Article
ISSN
0009-725X

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We prove that for a metrizable space X the following are equivalent: (i) the free Abelian topological group A(X) is the inductive limit of the sequence {A n (X): n ∈ N}, where A n (X) is formed by all words of reduced length n; (ii) X is locally compact and the set of all non-isolated points of X is