2018/07/29 by Andrew Powell, Powell, Andrew
Mathematics · Decision Sciences · #Rings, Modules, and Algebras #Homotopy and Cohomology in Algebraic Topology #Fuzzy and Soft Set Theory
paper · pdf · doi:10.48550/arxiv.1807.11098
This is a paper that aims to interpret the cardinality of a set in terms of Baire Category, i.e. how many closed nowhere dense sets can be deleted from a set before the set itself becomes negligible. . To do this natural tree-theoretic structures such as the Baire topology are introduced, and the Baire Category Theorem is extended to a statement that a ℵ-sequentially complete binary tree representation of a Hausdorff topological space that has a clopen base of cardinality ℵ and no isolated or discrete points is not the union of