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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 239–250
(Mi znsl1483)
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On the topology of cycles in pseudolinear programs
N. E. Mnev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
By demand coming from the quasicrystal community, we present here a construction realizing an arbitrary oriented link in $\mathbb R^3$ by the graph of a 3d pseudolinear (or matroid) program. This gives a hint about possible “topological complexity” of rank 4 oriented matroids $\approx3d$ pseudoplane arrangements $\approx3d$ quasicrystal tilings.
Received: 20.12.2000
Citation:
N. E. Mnev, “On the topology of cycles in pseudolinear programs”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 239–250; J. Math. Sci. (N. Y.), 119:2 (2004), 260–267
Linking options:
https://www.mathnet.ru/eng/znsl1483 https://www.mathnet.ru/eng/znsl/v280/p239
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Abstract page: | 116 | Full-text PDF : | 46 |
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