Vol. 42, No. 3, 1972

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Using brick partitionings to establish conditions which insure that a Peano continuum is a 2-cell, a 2-sphere or an annulus

Richard Alan Slocum

Vol. 42 (1972), No. 3, 763–775
Abstract

Using brick patitioning, sufficient conditions are established for a subset of a Peano space to be locally euclidean. If M is a Peano space with no local cut points and S is a subcontinuum of M, has no local cut points, is the closure of a domain in M, has connected complement and contains a point x such that every simple closed curve in lS not passing through x separates M, then S is a closed 2-cell, a 2-sphere or an annulus.

Mathematical Subject Classification
Primary: 54F25
Milestones
Received: 21 September 1970
Revised: 2 June 1972
Published: 1 September 1972
Authors
Richard Alan Slocum