On Different Topologies for Set-Indexing Collections

We underline some topological properties of set-indexing collections in order to give new assumptions for set-indexed stochastic processes. We show that any of these topological assumptions is equivalent to another one already used in the framework of set-indexed process. These may replace usual metric assumptions needed to derive some known stopping results. We provide an example related to a class of birth-and-growth processes

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Year of publication:	2018
Authors:	Aletti, Giacomo
Publisher:	[2018]: [S.l.] : SSRN

Extent:	1 Online-Ressource (7 p)
Series:	Mathematics Preprint Archive ; Vol. 2001, Issue 7, pp 793-799
Type of publication:	Book / Working Paper
Language:	English
Notes:	Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments July 2001 erstellt
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10012923845