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Currently displaying 1 – 2 of 2

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Zeros of continuous functions and the compact-open topology

Peter Vadovič — 2003

Mathematica Slovaca

Densely continuous forms, pointwise topology and cardinal functions

Dušan Holý; Peter Vadovič — 2008

Czechoslovak Mathematical Journal

We consider the space $D (X, Y)$ of densely continuous forms introduced by Hammer and McCoy and investigated also by Holá . We show some additional properties of $D (X, Y)$ and investigate the subspace $D^{*} (X)$ of locally bounded real-valued densely continuous forms equipped with the topology of pointwise convergence $τ_{p}$ . The largest part of the paper is devoted to the study of various cardinal functions for $(D^{*} (X), τ_{p})$ , in particular: character, pseudocharacter, weight, density, cellularity, diagonal degree, $π$ -weight, $π$ -character,...

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