Open covers and function spaces

Authors

  • Vladimir Pavlović Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia Author
  • Bruno A. Pansera Dipartimento di Matematica, Universita di Messina, Messina, Italy Author

Keywords:

Reznichenko property, Pytkeev property, $k$-cover, countable (strong) fan tightness, groupability, compact-open topology, pointwise convergence topology, selection principles

Subjects:

54C35, 54D20

Abstract

We investigate some closureproperties of the space $C(X)$ of the continuous real-valuedfunctions on a Tychonoff space $X$ endowed with the compact-opentopology and the pointwise convergence topology.

Downloads

Published

2006-04-15