Abstract
This chapter describes a Dowker space as a normal space whose Cartesian product with the ordinary closed unit interval I is not normal. Dowker's proof gave a useful combinatorial structure for spaces that are normal but not countably paracompact. Knowledge of the existence of Dowker spaces having additional properties, especially those having various cardinal functions countable, is often basic to the solution of other, sometimes apparently unrelated, problems. The chapter further presents a few theorems that indicate circumstances under which there are no Dowker spaces and presents a variety of examples of Dowker spaces constructed under a variety of set theoretic assumptions. It also discusses the Morita–Starbird theorem.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
