Journal of Convex Analysis 26 (2019), No. 3, 753--760
Copyright Heldermann Verlag 2019
Functional Characterizations of Countable Tychonoff Spaces
Juan Carlos Ferrando
Centro de Investigación Operativa, Universidad Miguel Hernandez, 03202 Elche, Spain
jc.ferrando@umh.es
Saak Gabriyelyan
Dept. of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel
saak@math.bgu.ac.il
Jerzy Kakol
Faculty of Mathematics and Informatics, A. Mickiewicz University, 60-769 Poznan, Poland
kakol@amu.edu.pl
Several characterizations of countable Tychonoff spaces by meaning of function spaces equipped with various locally convex topologies are provided.
Keywords: Function space, fundamental bounded resolution, fundamental compact resolution, sigma-compact space.
MSC: 54C35, 54H05
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