Weakly Infinite Dimensional Subsets of RN
نویسندگان
چکیده
The Continuum Hypothesis implies an Erdös-Sierpiński like duality between the ideal of first category subsets of R , and the ideal of countable dimensional subsets of R. The algebraic sum of a Hurewicz subset a dimension theoretic analogue of Sierpinski sets and Lusin sets of R with any compactly countable dimensional subset of R has first category.
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