Quasisimilarity of nests

Kenneth R. Davidson and Domingo Antonio Herrero

Vol. 138 (1989), No. 2, 243–257

DOI: 10.2140/pjm.1989.138.243

Abstract

The purpose of this article is to provide a complete classification of nests modulo quasisimilarity. Sample result: if every initial segment of the nest ℳ is uncountable, then ℳ is quasisimilar to a continuous nest.

Mathematical Subject Classification 2000

Primary: 47D25, 47D25

Secondary: 47A15, 47A55

Milestones

Received: 7 January 1988

Published: 1 June 1989