A weak quasi-Lindelöf property and quasi-fine supports of measures
type: Item
instance of: scholarly article
title: A weak quasi-Lindelöf property and quasi-fine supports of measures
zbMATH Open document ID: 0818.60067
DOI: 10.1007/BF01446657
published in: Mathematische Annalen
publication date: 1995-06-27T00:00:00Z
full work available at URL: https://eudml.org/doc/165317
review text: We show that the fine topology of a right Markov process always enjoys a weak form of Doob's quasi-Lindelöf property. Using this property, we construct \(\lambda\)-quasi-fine supports for measures not charging \(\lambda\)-semipolar sets, where \(\lambda\) is a fixed initial distribution. We provide several other applications of the weak quasi-Lindelöf property, including a positive answer to a question posed by Dellacherie.
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J40
Mathematics Subject Classification ID: 60J05
zbMATH DE Number: 759292
zbMATH Keywords: Lindelöf property
zbMATH Keywords: fine support
zbMATH Keywords: semipolar
zbMATH Keywords: continuous additive functional
author: Patrick J. Fitzsimmons
author: R. K. Getoor
reviewed by: Patrick J. Fitzsimmons
MaRDI profile type: Publication
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OpenAlex ID: W2049953717
description: scientific article; zbMATH DE number 759292