LAUSR

Abstract Let X be a Hausdorff topological space and let Q ( X , R ) be the space of all quasicontinuous functions on X with values in R and τ p be the topology of pointwise convergence. We prove that Q ( X , R ) is dense in R X equipped with the product topology. We characterize some cardinal invariants of ( Q ( X , R ) , τ p ) . We also compare cardinal invariants of ( Q ( R , R ) , τ p ) and ( C ( R , R ) , τ p ) , the space of all continuous functions on R with values in R .