Vol. 30, No. 1, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
A continuous partial order for Peano continua

Virginia E. Walsh Knight

Vol. 30 (1969), No. 1, 141–153
Abstract

A theorem of R. J. Koch states that a compact continuously partially ordered space with some natural conditions on the partial order is arcwise connected. L. E. Ward, Jr., has conjectured that Koch’s arc theorem implies the well-known theorem of R. L. Moore that a Peano continuum is arcwise connected. In this paper Ward’s conjecture is proved.

Mathematical Subject Classification
Primary: 54.55
Milestones
Received: 9 December 1968
Published: 1 July 1969
Authors
Virginia E. Walsh Knight