A generalized closure and complement phenomenon

✍ Scribed by D. Peleg

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 530 KB
• Volume: 50
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(84)90055-4

✦ Synopsis

The number of different sets that can be generated from a given set by applications of complement and closure operators is finite and small (e.g., 14). This fact, stated originally in [4] for topological closures, and later in [2] for transitive closures of binary relations, is generaliTed to other closure operators, and several examples are given.