THE SUP-EQUICONTINUITY THEOREM
Keywords:
Topological vector Spaces (TVS), Subject Classification General Topology (GT), supremum of vector/locally convex topologies, equicontinuousAbstract
We establish two theorems on equicontinuity involving the supremum of vector/locally convex topologies on the codomain space. With the help of these we establish a third theorem, here labeled, The Sup-Equicontinuity Theorem.
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References
Sunday Oluyemi, Net (Sequential) Characterization of Equicontinuity, To appear in Transactions of NAMP.
Sunday Oluyemi, Notes on Equicontinuity in Topological Vector Spaces, To appear in Transactions of NAMP.
Albert Wilansky, Topology for Analysis Ginn, 1970.
Albert Wilansky, Modern Methods in Topological Vector Spaces McGrawHill, 1976.
Gerald B. Folland, REAL ANALYSIS John Wiley, 1984.
Sunday Oluyemi, A vector topology is uniformizable, Journal of NAMP, Volum 60, April – June Issue, 2021, p.1 – 4.
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