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A NOTE ON SPACES WITH A RANK 3-DIAGONAL
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 90 / Issue 3 / December 2014
- Published online by Cambridge University Press:
- 19 May 2014, pp. 521-524
- Print publication:
- December 2014
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- Article
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We prove that if
$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}X$ is a space satisfying the discrete countable chain condition with a rank 3-diagonal then the cardinality of 
$X$ is at most 
$\mathfrak{c}$.
