A Non-Topological View of Dcpos as Convergence Spaces (Extended Abstract)

✍ Scribed by Reinhold Heckmann

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 40 KB
Volume: 40
Category: Article
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(05)80045-3

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A non-topological view of dcpos as conve

A non-topological view of dcpos as convergence spaces

✍ Reinhold Heckmann 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 370 KB

The category TOP of topological spaces is not cartesian closed, but can be embedded into the cartesian closed category CONV of convergence spaces. It is well known that the category DCPO of dcpos and Scott continuous functions can be embedded into TOP, and so into CONV, by considering the Scott topo