Vol. 48, No. 1, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
A comparison of c-density and k-density

Arthur E. Olson

Vol. 48 (1973), No. 1, 209–213
Abstract

In this paper a comparison is made between c-density and k-density in the general setting of Freedman density spaces in additive number theory. The comparison is motivated by the following question of Freedman: Does there exist a density space and a set such that the c-density of that set is positive and the k-density is zero? The answer is yes. More generally, there exists a density space such that for any two real numbers ρ1 and ρ2 with 0 ρ1 ρ2 < 1, a set can be constructed such that the k-density of the set is ρ1 while the c-density is ρ2.

Mathematical Subject Classification
Primary: 10L10
Milestones
Received: 22 June 1972
Published: 1 September 1973
Authors
Arthur E. Olson