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- W63369873 abstract "This chapter discusses spaces, mappings, and measures. Different classes of subsets of S are characterized by different set operations. A class G of subsets of S is called a σ-topological class of open sets if it is closed under countable unions and finite intersections and if S ∈ G , O ∈ G . The members of G are called open sets. If a σ-topological class of open sets is closed under arbitrary unions, it is called a topological class of open sets, and if a σ-topological class of closed sets is closed under arbitrary intersections, it is called a topological class of closed sets. A class S of subsets of a set S is called a Boolean algebra. A set S together with a σ-topological class of closed subsets of S is said to form a σ-topological space. If an A-space is second-order countable, it is a topological space." @default.
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- W63369873 date "1982-01-01" @default.
- W63369873 modified "2023-09-27" @default.
- W63369873 title "SPACES, MAPPINGS, AND MEASURES" @default.
- W63369873 doi "https://doi.org/10.1016/b978-0-12-091080-9.50004-0" @default.
- W63369873 hasPublicationYear "1982" @default.
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