NotesFAQContact Us
Collection
Advanced
Search Tips
50 Years of ERIC
50 Years of ERIC
The Education Resources Information Center (ERIC) is celebrating its 50th Birthday! First opened on May 15th, 1964 ERIC continues the long tradition of ongoing innovation and enhancement.

Learn more about the history of ERIC here. PDF icon

Back to results
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ691889
Record Type: Journal
Publication Date: 2005
Pages: 3
Abstractor: Author
Reference Count: 1
ISBN: N/A
ISSN: ISSN-0020-739X
Characterizing Continuous Functions in Terms of Separated Sets
Lynch, Mark
International Journal of Mathematical Education in Science and Technology, v36 n5 p549-551 Jul-Aug 2005
The following theorem is proved: let f : X --> Y and suppose points are closed in Y (that is, singleton sets are closed in Y ). Then, f is continous if and only if f[1] preserves separated sets. We also give a counter example in the event points are not closed in Y.
Descriptors: Educational Psychology, Mathematics Education
Customer Services for Taylor & Francis Group Journals, 325 Chestnut Street, Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420 (Toll Free); Fax: 215-625-8914.
Publication Type: Journal Articles; Numerical/Quantitative Data; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A