1. [Untitled]
- Author
-
David Lutzer, Mary Ellen Rudin, and Harold Bennett
- Subjects
Discrete mathematics ,Algebra and Number Theory ,Kolmogorov space ,Hausdorff space ,Topological space ,Sequential space ,Topological vector space ,Combinatorics ,symbols.namesake ,Computational Theory and Mathematics ,T1 space ,symbols ,Geometry and Topology ,Reflexive space ,Normal space ,Mathematics - Abstract
In this paper we examine the interactions between the topology of certain linearly ordered topological spaces (LOTS) and the properties of trees in whose branch spaces they embed. As one example of the interaction between ordered spaces and trees, we characterize hereditary ultraparacompactness in a LOTS (or GO-space) X in terms of the possibility of embedding the space X in the branch space of a certain kind of tree.
- Published
- 2002