Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660603 | Topology and its Applications | 2010 | 6 Pages |
Abstract
The lattice C(X) of all real-valued continuous functions on a topological space X has been characterized among various structures, for instance as an f-ring or as a Φ-algebra. In this paper, we characterize C(X) as a real ℓ-group (see Theorem 5.1).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology