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The notion of an abstract convex geometry offers an abstraction of the standard notion of convexity in a linear space.
The theory of convex geometries
P. H. Edelman and R. E. Jamison · 1984
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Combinatorial representation and convex dimension of convex geometries
P. H. Edelman and M. E. Saks · 1988
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An algebraic characterization of path independent choice functions
M. R. Johnson and R. A. Dean · 1996
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Choice functions and abstract convex geometries
G. Koshevoy · 1999
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Semimodular lattices: Theory and applications (Encyclopedia of mathematics and its applications (book 73)), 1999
M. Stern · 1999
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Locally complete path independent choice functions and their lattices
M. R. Johnson and R. A. Dean · 2001
Cited alongside, same era.
Join-semidistributive lattices and convex geometries
K. Adaricheva, V. Gorbunov, and V. Tumanov · 2003
Cited alongside, same era.
Join-semidistributive lattices of relatively convex sets
K. Adaricheva · 2004
Cited alongside, same era.
Designer path independent choice functions
M. R. Johnson and R. A. Dean · 2005
Cited alongside, same era.
Finite convex geometries of circles
G. Czédli
Cited in the paper.
Coordinatization of finite join-distributive lattices
G. Czédli
Cited in the paper.
Meet-distributive lattices and the anti-exchange closure
P.H. Edelman
Cited in the paper.
Sublattices of lattices of convex subsets of vector spaces
F. Wehrung and M.V. Semenova
Cited in the paper.
The affine representation theorem for abstract convex geometries
K. Kashiwabara, M. Nakamura, and Y. Okamoto · 2005
Later among the works it cites.
Note on the description of join-distributive lattices by permutations
K. Adaricheva and G. Czédli · 2014
Later among the works it cites.
Semidistributive lattices , volume 2, G. Grätzer and F. Wehrung, eds
K. Adaricheva and J. B. Nation · 2015
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Back to fundamentals: Equilibrium in abstract economies
M. Richter and A. Rubinstein · 2015
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