Peer reviewed
Direct linkERIC Number: EJ753934
Record Type: Journal
Publication Date: 2007-Jan-15
Pages: 5
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Continuity and Separation in Symmetric Topologies
Harris, J.; Lynch, M.
International Journal of Mathematical Education in Science & Technology, v38 n1 p127-131 Jan 2007
In this note, it is shown that in a symmetric topological space, the pairs of sets separated by the topology determine the topology itself. It is then shown that when the codomain is symmetric, functions which separate only those pairs of sets that are already separated are continuous, generalizing a result found by M. Lynch.
Descriptors: Topology, Geometry, Equations (Mathematics), Mathematical Concepts, Enrichment Activities, Problem Solving
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
