Graduate Thesis Or Dissertation

 

Density space theory : discrete spaces Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6q182q53k

Descriptions

Attribute NameValues
Creator
Abstract
  • Allen Freedman defined a density space to be the ordered pair (S,𝓕) where S is a certain kind of semigroup called an s-set and 𝓕 is a special type of family of finite subsets of S called a fundamental family on S. Several properties for density spaces are obtained, and the theory of a particular class of density spaces, called discrete density spaces, is developed in detail. The theory of discrete density spaces includes generalizations of some theorems of H. Mann, F. Dyson, and Freedman. Several inequalities for the density of the sum of two subsets of the s-set are obtained. Particular emphasis is placed on obtaining some sufficient conditions for the a + β property of additive number theory.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T16:53:24Z (GMT) No. of bitstreams: 1 OlsonArthurEugeneJr1971.pdf: 817674 bytes, checksum: cd757563ea1f18e662337165f587fa03 (MD5)
  • description.provenance : Made available in DSpace on 2010-08-12T16:54:54Z (GMT). No. of bitstreams: 1 OlsonArthurEugeneJr1971.pdf: 817674 bytes, checksum: cd757563ea1f18e662337165f587fa03 (MD5)
  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-08-11T21:48:29Z No. of bitstreams: 1 OlsonArthurEugeneJr1971.pdf: 817674 bytes, checksum: cd757563ea1f18e662337165f587fa03 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T16:54:54Z (GMT) No. of bitstreams: 1 OlsonArthurEugeneJr1971.pdf: 817674 bytes, checksum: cd757563ea1f18e662337165f587fa03 (MD5)

Relationships

Parents:

This work has no parents.

Items