Title

Doubly Stochastic Measures, Topology, And Latticework Hairpins

Abstract

We investigate topologies which can be put on the set of doubly stochastic measures on the unit square and show equivalence of all the standard ones and others considered here. This topology has a very nice characterization in terms of copulas. In terms of this topology we establish a simple relationship between a metric distance between two doubly stochastic measures concentrated on hairpins and the sup-norm distance between their mass spreaders, show the denseness of polygonal hairpins in the set of hairpins, and show the nowhere denseness of latticework hairpins in the set of hairpins. © 1990.

Publication Date

1-1-1990

Publication Title

Journal of Mathematical Analysis and Applications

Volume

152

Issue

1

Number of Pages

252-268

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0022-247X(90)90102-L

Socpus ID

38249017930 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/38249017930

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