Abstract
In this paper we study the role of cleavability and divisibility in the topology of generalized ordered (GO-)spaces. We characterize cleavability of a GO-space over the class of metrizable spaces, and over the spaces of irrational and rational numbers. We present a series of examples related to characterizations of cleavability over separable metric spaces and over the space of real numbers.
| Original language | English |
|---|---|
| Pages (from-to) | 1-17 |
| Number of pages | 17 |
| Journal | Order |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Cleavability
- Divisibility
- Generalized ordered space
- Linearly ordered space