Abstract
The study of totally preordered product sets starts in this chapter. Section 4.3 contains definitions and some results concerning topological properties of totally preordered product sets. The main result is that a weak connectednes property (c.2)) combined with a strong continuity property (the product topology finer than the order topology) is equivalent to a strong connectedness property (c.3) combined with a weak continuity property (called continuity).
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