Spaces of continuous step functions over LOTS

• Autorzy: Raushan Z. Buzyakova
• Języki publikacji: EN

Abstrakty

EN

We investigate spaces $C_{p}(·,n)$ over LOTS (linearly ordered topological spaces). We find natural necessary conditions for linear Lindelöfness of $C_{p}(·,n)$ over LOTS. We also characterize countably compact LOTS whose $C_{p}(·,n)$ is linearly Lindelöf for each n. Both the necessary conditions and the characterization are given in terms of the topology of the Dedekind completion of a LOTS.

Kategorie tematyczne

• 54C35: Function spaces
• 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54F65: Topological characterizations of particular spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 192
• Numer: 1
• Strony: 25-35

Daty

wydano

2006

Twórcy

autor

Raushan Z. Buzyakova

• Mathematics Department, UNCG, PO Box 26170, Greensboro, NC 27402, U.S.A.

Identyfikatory

DOI

10.4064/fm192-1-2