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On Isomorphisms of Lattices of Closed Subspaces
Canadian Journal of Mathematics, 1984By a projectivityof vector spaces Xand Yover fields F and G is meant an isomorphism Ψ:(X) → (Y) of their lattices of subspaces. A basic theorem of projective geomtry [2, p. 44] asserts that, for spaces of dimension at least 3, any such projectivity is of the form Ψ(M) = SM for a bijection S:X → Y which is semi-linear in the sense that S is an additive ...
Fillmore, P. A., Longstaff, W. E.
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