Densely continuous forms, pointwise topology and cardinal functions

Holý, Dušan, and Vadovič, Peter. "Densely continuous forms, pointwise topology and cardinal functions." Czechoslovak Mathematical Journal 58.1 (2008): 79-92. <http://eudml.org/doc/31200>.

@article{Holý2008,
abstract = {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.},
author = {Holý, Dušan, Vadovič, Peter},
journal = {Czechoslovak Mathematical Journal},
keywords = {locally bounded densely continuous form; topology of pointwise convergence; cardinal function; weight; density; netweight; cellularity; locally bounded densely continuous form; topology of pointwise convergence; cardinal function; weight; density; netweight; cellularity},
language = {eng},
number = {1},
pages = {79-92},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Densely continuous forms, pointwise topology and cardinal functions},
url = {http://eudml.org/doc/31200},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Holý, Dušan
AU - Vadovič, Peter
TI - Densely continuous forms, pointwise topology and cardinal functions
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 1
SP - 79
EP - 92
AB - 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.
LA - eng
KW - locally bounded densely continuous form; topology of pointwise convergence; cardinal function; weight; density; netweight; cellularity; locally bounded densely continuous form; topology of pointwise convergence; cardinal function; weight; density; netweight; cellularity
UR - http://eudml.org/doc/31200
ER -