Metric spaces of multisets
type: Item
instance of: scholarly article
title: Metric spaces of multisets
zbMATH Open document ID: 0877.04006
author: O. Diekmann
published in: Doklady Mathematics
publication date: 1997-08-20T00:00:00Z
review text: A multiset (MS), or a set with repetitions, is a set of elements \(X=\{x_i\}\) in which the same element can occur several times. The multiplicity of occurrence of an element is essential for a MS. The concept of a multiset (bag) is known in combinatorial mathematics; it is used in programming, in Petri net theory, and in other applications. We introduce in this work some new notions and operations in the field of MS, in particular: families of MS, measure of a MS, and metric spaces of MS. We formulate necessary and sufficient conditions of the existence of various metrics and investigate some of their properties.
Mathematics Subject Classification ID: 03E99
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 1050480
zbMATH Keywords: multiset
zbMATH Keywords: families
zbMATH Keywords: measure
zbMATH Keywords: metric spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1050480