Fixed point sets of autohomeomorphisms of uncountable products

✍ Scribed by Alex Chigogidze; John R. Martin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 579 KB
• Volume: 80
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00005-9

✦ Synopsis

It is shown that every nonempty closed subset of any uncountable power of a metrizable compact group (or the real line or the irrationals) is the fixed point set an autohomeomorphism of that power.