Strips Are the Only Open Convex Sets that Disconnect the Plane. Issue 1 (1st January 2023)
- Record Type:
- Journal Article
- Title:
- Strips Are the Only Open Convex Sets that Disconnect the Plane. Issue 1 (1st January 2023)
- Main Title:
- Strips Are the Only Open Convex Sets that Disconnect the Plane
- Authors:
- Mortini, Raymond
Pflug, Peter - Abstract:
- Summary: We show that the number of complementary components of an open convex set in the plane is 0, 1, or 2 by showing that isometric images of strips R × I (where I is a bounded open interval) are the only open convex sets in R 2 with disconnected complement.
- Is Part Of:
- Mathematics magazine. Volume 96:Issue 1(2023)
- Journal:
- Mathematics magazine
- Issue:
- Volume 96:Issue 1(2023)
- Issue Display:
- Volume 96, Issue 1 (2023)
- Year:
- 2023
- Volume:
- 96
- Issue:
- 1
- Issue Sort Value:
- 2023-0096-0001-0000
- Page Start:
- 45
- Page End:
- 47
- Publication Date:
- 2023-01-01
- Subjects:
- 54D05
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://www.jstor.org/journals/0025570x.html ↗
http://www.maa.org/pubs/mathmag.html ↗
http://www.tandfonline.com/toc/umma20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/0025570X.2023.2165855 ↗
- Languages:
- English
- ISSNs:
- 0025-570X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 26108.xml