Cardinal invariants of $\lambda$-topologies

N. V. Velichko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We study the basic cardinal-valued invariants of $C_{\lambda}(X)$ such as weight, density, network weight, $i$-weight, and tightness, where $C_{\lambda}(X)$ is the space of all continuous real functions on $X$ in the $\lambda$-topology.

Keywords: space of continuous functions, $\lambda$-topology, cardinal-valued invariants.

UDC: 517.982.272, 515.122.55

Received: 28.07.2002

 English version: Siberian Mathematical Journal, 2004, 45:2, 241–247

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