Continuity and Separation In Symmetric Topologies
Document Type
Article
Publication Date
1-15-2007
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
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.
Publication Title
International Journal of Mathematical Education in Science and Technology
Volume
38
Issue
1
First Page
127
Last Page
131
Recommended Citation
Harris, J.,
Lynch, M.
(2007). Continuity and Separation In Symmetric Topologies. International Journal of Mathematical Education in Science and Technology, 38(1), 127-131.
Available at: https://aquila.usm.edu/fac_pubs/21170