Vol. 93, No. 1, 1981

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
Embeddings of the pseudo-arc in E2

Wayne Steven Lewis

Vol. 93 (1981), No. 1, 115–120
Abstract

In this paper, we show that there exists an embedding, Ps, of the pseudo-arc in the plane such that any two accessible points lie in distinct composants of Ps. We also show that there are c = 2ω0 distinct embeddings of the pseudo-arc in the plane, including for each positive integer n, one with exactly n composants accessible. This answers some questions and a conjecture of Brechner.

Mathematical Subject Classification 2000
Primary: 54F20, 54F20
Secondary: 57N35
Milestones
Received: 24 October 1977
Revised: 17 December 1979
Published: 1 March 1981
Authors
Wayne Steven Lewis