Restricted compactness properties and their preservation under products

✍ Scribed by Juris Steprāns; Alexander P. Šostak

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 159 KB
• Volume: 101
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(98)00126-6

✦ Synopsis

A topological space is said to have a restricted compactness property if every cover of it by sets chosen from a restricted class of open sets has a finite subcover. One such example is the class of spaces with the property that every cover by clopen sets has a finite subcover. The question of when such spaces as well as others with restricted compactness properties retain these properties under products is considered.