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- W143899488 abstract "Publisher SummaryIt is a feature of problems of set-theoretic character that they tend to be independent of the usual axioms of set theory. This chapter describes the particular methods used to obtain independence results concerning problems that involve cardinal functions. It further discusses the sharpness of certain inequalities between cardinal functions and focuses on subspaces. The sharpness of bounds on the cardinality of X theorem states that for every regular cardinal κ, there is a 0-dimensional T2 space X such that |X| > κ but d(X) > κ and ψ(X) = ω. The chapter also presents another equation that states that if CH holds and there is an ω2 -Suslin line, then there is a generalized ordered space S for which s(S)x(s) < s(S)x(s)<|S|. The chapter also presents a proposition that states that if X is any Lindelof space of countable pseudo-character, then |X| is less than the first measurable cardinal and |X| cannot be weakly compact." @default.
- W143899488 created "2016-06-24" @default.
- W143899488 creator A5040722689 @default.
- W143899488 date "1984-01-01" @default.
- W143899488 modified "2023-10-14" @default.
- W143899488 title "Cardinal Functions II" @default.
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- W143899488 doi "https://doi.org/10.1016/b978-0-444-86580-9.50005-7" @default.
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