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Jul 30, 2017 at 20:02 comment added Tobias Fritz Something's wrong here, if I interpret 'the above fact does hold over any field' as claiming that for any subspace $V\subseteq F^n$, the set of supports of nonzero vectors in $V$ forms the dependent sets of a matroid. The obvious counterexample is the space of vectors of even parity in $\mathbb{F}_2^n$, for which the set of supports is not upwards closed. So what exactly is the correct statement?
Jun 11, 2015 at 23:43 answer added Ben Webster timeline score: 3
Jun 11, 2015 at 22:53 history edited Louis Deaett CC BY-SA 3.0
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Jun 11, 2015 at 22:44 history edited Louis Deaett CC BY-SA 3.0
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Jun 11, 2015 at 22:29 history asked Louis Deaett CC BY-SA 3.0