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- W1586181356 abstract "Can the set R n f0g be covered by countably many linearly (algebraically) independent subsets over the field Q? We use a matroid approach to show that an answer is Yes under the Continuum Hypothesis, and No under its negation. In this paper we discuss partitions of groups and other algebraic objects into independent subsets. The notion of an independent set can be defined for any hull operator. By a hull operator on a set X we understand any function hi: PX ! PX defined on the power-set PX of X such that AhAihBi for any subsets AB of X. A subset AX is called independent (with respect to the hull operator hi) if a /" @default.
- W1586181356 created "2016-06-24" @default.
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- W1586181356 date "2010-10-07" @default.
- W1586181356 modified "2023-09-27" @default.
- W1586181356 title "PARTITIONS OF GROUPS AND MATROIDS INTO INDEPENDENT SUBSETS" @default.
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