Abstract:This thesis consists of three parts, each one concerned with a problem in Combinatorial Set Theory.Part 1 deals with problems involving set mappings of unrestricted order. It is well-known that set mappings of order less than K always have a free set of size K . We prove an inversion theorem which allows us to apply existing results about set mappings of order K to get results about set mappings of unrestricted order. See [3]. Part 2 considers generalizations of the regressive functions studied by Fodor in his… Show more
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