Vol. 52, No. 2, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 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 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Locally homeomorphic λ connected plane continua

Charles Lemuel Hagopian

Vol. 52 (1974), No. 2, 403–404
Abstract

A continuum X is λ connected if each two of its points can be joined by a hereditarily decomposable subcontinuum of X. Suppose that X and Y are plane continua and that there is a local homeomorphism that sends X onto Y . It follows from Theorem 5 in [2] that Y is λ connected if X is λ connected. Here we prove that, conversely, if Y is λ connected, then X is λ connected.

Mathematical Subject Classification
Primary: 54F20
Milestones
Received: 13 November 1972
Published: 1 June 1974
Authors
Charles Lemuel Hagopian