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- W3021261877 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." @default.
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- W3021261877 date "1984-01-01" @default.
- W3021261877 modified "2023-10-01" @default.
- W3021261877 title "Dowker Spaces" @default.
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- W3021261877 doi "https://doi.org/10.1016/b978-0-444-86580-9.50020-3" @default.
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