On linear continuous open surjections of the spaces CP(X)

✍ Scribed by A. Leiderman; M. Levin; V. Pestov

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 683 KB
• Volume: 81
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00034-5

✦ Synopsis

Solving a problem by Arkhangel'skii, we construct a linear continuous open surjection L : C,(X) --) C,(Y) for compacta X and Y with 0 < dim X < dim Y < co. An example of nonopen linear continuous surjection of the space C,[O, I] onto itself is given. Related topics and results are discussed.