Geodesic
Densely continuous forms, pointwise topology and cardinal functions
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 79-92 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $\tau _p$. The largest part of the paper is devoted to the study of various cardinal functions for $(D^*(X),\tau _p)$, in particular: character, pseudocharacter, weight, density, cellularity, diagonal degree, $\pi $-weight, $\pi $-character, netweight etc.
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 $\tau _p$. The largest part of the paper is devoted to the study of various cardinal functions for $(D^*(X),\tau _p)$, in particular: character, pseudocharacter, weight, density, cellularity, diagonal degree, $\pi $-weight, $\pi $-character, netweight etc.
Classification : 54A25, 54C60, 54E15
Keywords: locally bounded densely continuous form; topology of pointwise convergence; cardinal function; weight; density; netweight; cellularity 
@article{CMJ_2008_58_1_a5,
     author = {Hol\'y, Du\v{s}an and Vadovi\v{c}, Peter},
     title = {Densely continuous forms, pointwise topology and cardinal functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {79--92},
     year = {2008},
     volume = {58},
     number = {1},
     mrnumber = {2402527},
     zbl = {1174.54010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a5/}
}
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Holý, Dušan; Vadovič, Peter. Densely continuous forms, pointwise topology and cardinal functions. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 1, pp. 79-92. http://geodesic.mathdoc.fr/item/CMJ_2008_58_1_a5/