Abstract

Several characterizations of countable Tychonoff spaces by meaning of function spaces equipped with various locally convex topologies are provided.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Function space
  • fundamental bounded resolution
  • fundamental compact resolution
  • sigma-compact space

Mathematics Subject Classification

54C35, 54H05

Suggested citation

J. C. Ferrando, S. Gabriyelyan, J. Kakol. “Functional Characterizations of Countable Tychonoff Spaces.” Journal of Convex Analysis 26 (2019), No. 3, 753–760.

Copyright Banach Press 2019