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arxiv: 0907.3771 · v2 · pith:YBGI6TQCnew · submitted 2009-07-22 · 🧮 math.LO · math.CO

Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces

classification 🧮 math.LO math.CO
keywords examplesindivisiblepartitionrelationalvectoraffinecountablecounterexample
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We investigate infinite versions of vector and affine space partition results, and thus obtain examples and a counterexample for a partition problem for relational structures. In particular we provide two (related) examples of an age indivisible relational structure which is not weakly indivisible.

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