Some remarks providing discontinuous maps on some $C_p(X)$ spaces

• Autorzy: S. Moll
• Języki publikacji: EN

Abstrakty

EN

Let X be a completely regular Hausdorff topological space and $C_{p}(X)$ the space of continuous real-valued maps on X endowed with the pointwise topology. A simple and natural argument is presented to show how to construct on the space $C_{p}(X)$, if X contains a homeomorphic copy of the closed interval [0,1], real-valued maps which are everywhere discontinuous but continuous on all compact subsets of $C_{p}(X)$.

Kategorie tematyczne

• 54C35: Function spaces
• 54C05: Continuous maps

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 79
• Numer: 1
• Strony: 131-133

Daty

wydano

2008

Twórcy

autor

S. Moll

• Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46022 Valencia, Spain

Identyfikatory

DOI

10.4064/bc79-0-10