scholarly journals Complementation in the face lattice of a proper cone

1986 ◽  
Vol 79 ◽  
pp. 195-207 ◽  
Author(s):  
Raphael Loewy ◽  
Bit-Shun Tam
Keyword(s):  
Face Lattice ◽  
Proper Cone ◽  
The Face

scholarly journals The face lattice of hyperplane arrangements

1988 ◽  
Vol 73 (1-2) ◽  
pp. 233-238 ◽  
Author(s):  
Günter M. Ziegler
Keyword(s):  
Hyperplane Arrangements ◽  
Face Lattice ◽  
The Face

Lawrence Polytopes

1990 ◽  
Vol 42 (1) ◽  
pp. 62-79 ◽  
Author(s):  
Margaret Bayer ◽  
Bernd Sturmfels
Keyword(s):  
Oriented Matroids ◽  
Oriented Matroid ◽  
Face Lattice ◽  
The Face

In 1980 Jim Lawrence suggested a construction Λ which assigns to a given rank r oriented matroid M on n points a rank n + r oriented matroid Λ(M) on 2n points such that the face lattice of Λ(M) is polytopal if and only if M is realizable. The Λ-construction generalized a technique used by Perles to construct a nonrational polytope [10]. It was used by Lawrence to prove that the class of polytopal lattices is strictly contained in the class of face lattices of oriented matroids (unpublished) and by Billera and Munson to show that the latter class is not closed under polarity. See [4] for a discussion of this construction and both of these applications.

On the Face Lattice of the Metric Polytope

2003 ◽  
pp. 118-128 ◽  
Author(s):  
Antoine Deza ◽  
Komei Fukuda ◽  
Tomohiko Mizutani ◽  
Cong Vo
Keyword(s):  
Face Lattice ◽  
The Face

scholarly journals Formalizing the Face Lattice of Polyhedra

2020 ◽  
pp. 185-203
Author(s):  
Xavier Allamigeon ◽  
Ricardo D. Katz ◽  
Pierre-Yves Strub
Keyword(s):  
Face Lattice ◽  
The Face

scholarly journals Computing the face lattice of a polytope from its vertex-facet incidences

2002 ◽  
Vol 23 (3) ◽  
pp. 281-290 ◽  
Author(s):  
Volker Kaibel ◽  
Marc E. Pfetsch
Keyword(s):  
Face Lattice ◽  
The Face

The face lattice of ann-dimensional cube

1982 ◽  
Vol 14 (1) ◽  
pp. 82-86 ◽  
Author(s):  
Mary Katherine Bennett
Keyword(s):  
Face Lattice ◽  
The Face ◽  
Dimensional Cube

Why do people believe in a zero-sum economy?

2018 ◽  
Vol 41 ◽  
Author(s):  
Samuel G. B. Johnson
Keyword(s):  
Perspective Taking ◽  
Evolutionary Model ◽  
Everyday Experience ◽  
Coalitional Psychology ◽  
The Face ◽  
Zero Sum

AbstractZero-sum thinking and aversion to trade pervade our society, yet fly in the face of everyday experience and the consensus of economists. Boyer & Petersen's (B&P's) evolutionary model invokes coalitional psychology to explain these puzzling intuitions. I raise several empirical challenges to this explanation, proposing two alternative mechanisms – intuitive mercantilism (assigning value to money rather than goods) and errors in perspective-taking.

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