Dedekind cuts in C(X)

• Autorzy: Nicolae Dăneţ
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space X corresponds to a Dedekind cut in C(X) and conversely.

Kategorie tematyczne

• 06B23: Complete lattices, completions
• 54C60: Set-valued maps
• 26E25: Set-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 287-297

Daty

wydano

2011

Twórcy

autor

Nicolae Dăneţ

• Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science, 124, Lacul Tei Blvd., Bucharest, Romania

Identyfikatory

DOI

10.4064/bc95-0-16