Densely continuous forms, pointwise topology and cardinal functions

Title:

Densely continuous forms, pointwise topology and cardinal functions

Creator:

Holý, Dušan and Vadovič, Peter

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e316cf1c-54a2-4c84-ba46-36764928e74f
uuid:e316cf1c-54a2-4c84-ba46-36764928e74f

Subject:

locally bounded densely continuous form, topology of pointwise convergence, cardinal function, weight, density, netweight, and cellularity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

79-92

Source:

Czechoslovak Mathematical Journal | 2008 Volume:58 | Number:1

Harvested from:

CDK

Metadata only:

false