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Residual measures in locally compact spaces

✍ Scribed by Ondřej Zindulka

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
127 KB
Volume
108
Category
Article
ISSN
0166-8641

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✦ Synopsis

A σ -finite diffused Borel measure in a topological space is called residual if each nowhere dense set has measure zero. If the measure is also fully supported, then it is called normal. Results on the influence of Martin's Axiom and the Continuum Hypothesis on the existence of residual and normal measures in locally compact spaces are obtained. A connection with L-spaces is established.

📜 SIMILAR VOLUMES

Open subspaces of locally compact metric
Open subspaces of locally compact metric spaces
✍ Mark Mandelkern 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 183 KB

## Abstract Although classically every open subspace of a locally compact space is also locally compact, constructively this is not generally true. This paper provides a locally compact remetrization for an open set in a compact metric space and constructs a one‐point compactification. MSC: 54D45,