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what does matroid structure mean in the answer to this question? I looked it up in Wikipedia but don't know which part applies to this case. What does the reply mean by "verify something forms a matroid structure"?

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    David's answer describes exactly what this means immediately below that sentence.2012-05-30
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    It means precisely that the points 1. 2. and 3. given in the answer there are satisfied.2012-05-30
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    For future reference, you could have asked this as a comment under David's answer.2012-05-30
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    @Qiaochu/Alastair: Thank you!2012-05-30

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The numbered points are checking off that these three axioms for the definition of a matroid are satisfied.