Continuity and Separation In Symmetric Topologies
Mathematics and Natural Sciences
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.
International Journal of Mathematical Education in Science and Technology
(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