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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 239–250 (Mi znsl1483)  
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
Full-text PDF (286 kB)
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
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 260–267
DOI: https://doi.org/10.1023/B:JOTH.0000008768.06895.ba
Bibliographic databases:
UDC: 515.162.8
Language: English
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
Citation in format AMSBIB
\Bibitem{Mne01}
\by N.~E.~Mnev
\paper On the topology of cycles in pseudolinear programs
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 239--250
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879270}
\zmath{https://zbmath.org/?q=an:1077.52522}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 260--267
\crossref{https://doi.org/10.1023/B:JOTH.0000008768.06895.ba}
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