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by theoh
3317 days ago
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Those two operations are called "meet" and "join", and in principle they work with any linear subspaces (point, line, plane, etc.) So the meet of a line and a plane in 3D is a point, the join of a point and a line in 3D is a plane, etc. Wikipedia is good on this stuff if you are patient with mathematician's way of expressing things... https://en.m.wikipedia.org/wiki/Join_and_meet https://en.m.wikipedia.org/wiki/Linear_subspace "Lattice of subspaces The operations intersection and sum make the set of all subspaces a bounded modular lattice, where the {0} subspace, the least element, is an identity element of the sum operation, and the identical subspace V, the greatest element, is an identity element of the intersection operation." |
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