Vol. 25, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 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
Quasi dimension type. II. Types in 1-dimensional spaces

Jack Segal

Vol. 25 (1968), No. 2, 353–370
Abstract

In this paper we consider the partial ordering induced on 1-dimensional continua by quasi dimension type. For example, we show that the pseudo-arc precedes every snake-like continuum in this partial ordering. We also obtain sufficient conditions in terms of quasi dimension type for the embedding of Peano continua in the plane. Finally, necessary and sufficient conditions in terms of quasi dimension type are given for a continuum to be tree-like and to be 1-dimensional.

Mathematical Subject Classification
Primary: 54.70
Milestones
Received: 26 October 1964
Revised: 2 August 1967
Published: 1 May 1968
Authors
Jack Segal