Publication Date

4-16-1970

Abstract

In his 1967 edition of Lattice Theory, G. Birkhoff posed the question: "When is a directed group a topological group and a topological lattice in its new interval topology?'. This problem and the similar problem involving the ideal topology are investigated.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Jörg Mayer

Second Committee Member

Illegible

Third Committee Member

Illegible

Language

English

Document Type

Dissertation

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