Affine geometry: a lattice characterization-Reference-Cited by-同舟云学术

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Affine geometry: a lattice characterization

Published:1983 Issue:1 Volume:88 Page:21-26
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bennett M. K.

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-088-01/S0002-9939-1983-0691271-5/S0002-9939-1983-0691271-5.pdf

Reference11 articles.

1. American Mathematical Society Colloquium Publications, Vol. XXV;Birkhoff, Garrett,1967

2. Combinatorial relations in projective geometries;Birkhoff, Garrett;Ann. of Math. (2),1935

3. On incidence geometry;Gorn, Saul;Bull. Amer. Math. Soc.,1940

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An axiomatic system for affine spaces in terms of points, lines, and planes;Journal of Geometry;2015-10-15

2. Lattices of Flats;Affine and Projective Geometry;2011-02-22

3. Parallel axiom in convexity lattices;Periodica Mathematica Hungarica;1992-02

4. Separation conditions on convexity lattices;Lecture Notes in Mathematics;1985

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