Analogous results to two classical characterizations of covering properties by products

✍ Scribed by Yukinobu Yajima

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 309 KB
• Volume: 84
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00077-1

✦ Synopsis

First, as an analogue of Dowker's theorem for countable paracompactness, we prove a characterization of countable metacompactness in terms of subnormality of products. Second, as an analogue of Tamano's theorem for paracompactness, we give a characterization of Lindelijfness in terms of normality of products.