Density space theory : discrete spaces

Graduate Thesis Or Dissertation

公开 Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6q182q53k

Descriptions

Attribute Name	Values
Creator	Olson, Arthur Eugene
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	Dissertation
Date Available	2010-08-12T16:54:54+00:00
Date Issued	1970-11-30
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1971
Advisor	Stalley, R. D.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Number theory
权利声明	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
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	http://hdl.handle.net/1957/17561

Parents:

This work has no parents.

属于 Collection:

缩略图	标题	上传日期	公开度	行动
	OlsonArthurEugeneJr1971.pdf	2017-10-20	公开	下载