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- W332692610 abstract "This chapter provides an overview of sets and spaces. It reviews equivalent sets and presents various theorems and definitions. A theorem presented in the chapter states that every superset of an infinite set is infinite and that every subset of a countable set is countable. The union of a countable collection of countable sets is countable, and the set of rational numbers is countably infinite. The chapter describes sequences of sets and metric spaces. It also discusses open sets. The intersection of two open sets is open, and the intersection of a finite number of open sets is open. Every compact set in a metric space is bounded and closed, and every compact subset of a metric space is separable. The chapter also reviews cardinals and connected sets." @default.
- W332692610 created "2016-06-24" @default.
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- W332692610 date "1968-01-01" @default.
- W332692610 modified "2023-09-27" @default.
- W332692610 title "SETS AND SPACES" @default.
- W332692610 doi "https://doi.org/10.1016/b978-1-4832-3138-9.50005-6" @default.
- W332692610 hasPublicationYear "1968" @default.
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