Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence

Abstract

For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We also discuss the properties of the restriction and induced maps related to the space Qp(X,Y).

Keywords

• quasicontinuous functions
• topology of pointwise convergence
• character
• density
• weight
• cellularity
• spread
• induced map
• restriction map