Article ID Journal Published Year Pages File Type
4660589 Topology and its Applications 2010 12 Pages PDF
Abstract

The Continuum Hypothesis implies an Erdös–Sierpiński like duality between the ideal of first category subsets of RN, and the ideal of countable dimensional subsets of RN. The algebraic sum of a Hurewicz subset – a dimension theoretic analogue of Sierpiński sets and Lusin sets – of RN with any compactly.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology