Measures: Back and Forth Between Point sets and Large sets

Publisher: Cambridge University Press

E-ISSN: 1943-5894|1|2|170-188

ISSN: 1079-8986

Source: Bulletin of Symbolic Logic, Vol.1, Iss.2, 1995-06, pp. : 170-188

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

It was questions about points on the real line that initiated the study of set theory. Points paved the way to point sets and these to ever more abstract sets. And there was more: Reflection on structural properties of point sets not only initiated the study of ordinary sets; it also supplied blueprints for defining extra-ordinary, “large” sets, transcending those provided by standard set theory. In return, the existence of such large sets turned out critical to settling open conjectures about point sets.