MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Open covers and function spaces
Vladimir Pavlović and Bruno A. Pansera

Abstract

We investigate some closure properties of the space $C(X)$ of the continuous real-valued functions on a Tychonoff space $X$ endowed with the compact-open topology and the pointwise convergence topology.

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

MSC: 54C35, 54D20

Pages:  57--70     

Volume  58 ,  Issue  1$-$2 ,  2006