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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

Saak Gabriyelyan
Dept. of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

Jerzy Kakol
Faculty of Mathematics and Informatics, A. Mickiewicz University, 60-769 Poznan, Poland

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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