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- W1465043896 abstract "This chapter presents the basic theories of the Tychonoff functor, w -compact spaces, and w -paracompact spaces. The origin of the Tychonoff functor is the complete regularization of general topological spaces. The Tychonoff functor is now recognized as a covariant functor from the category of topological spaces and continuous maps into itself. The concept of w -paracompact spaces follows naturally that of w -compact spaces and is a generalization of paracompact Hausdorff spaces at the same time. The chapter introduces a generalization of the Tamano's theorem. The chapter investigates the characterization of w -paracompact spaces in terms of product spaces, which is parallel to Tamano's theorem for paracompact Hausdorff spaces. All spaces in this chapter are assumed to be general topological spaces." @default.
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- W1465043896 date "1989-01-01" @default.
- W1465043896 modified "2023-09-27" @default.
- W1465043896 title "Chapter 6 The Tychonoff Functor and Related Topics" @default.
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- W1465043896 doi "https://doi.org/10.1016/s0924-6509(08)70152-1" @default.
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