Affine geometry: a lattice characterization

Bennett, M. K.

doi:10.1090/S0002-9939-1983-0691271-5

Affine geometry: a lattice characterization
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by M. K. Bennett

Proc. Amer. Math. Soc. 88 (1983), 21-26

DOI: https://doi.org/10.1090/S0002-9939-1983-0691271-5

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Abstract:

Necessary and sufficient conditions are given for a lattice $L$ to be the lattice of flats of an affine space of arbitrary (possibly infinite) dimension.

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