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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 246, Pages 152–173 (Mi znsl554)  

This article is cited in 1 scientific paper (total in 1 paper)

Linear spaces of kinematic type

V. R. Krym

Library of Academy of Sciences
Full-text PDF (261 kB) Citations (1)
Abstract: Linear topological spaces with partial ordering are studied. It is assumed that the above-mentioned three structures are related to each other by a set of 8 axioms. Most of the results are valid for both the finite-dimensional and the infinite-dimensional case. In applications to physics, partial ordering is interpreted as the causal structure. Both the Newtonian and the special relativity causal structure are studied, and some other possible types of causality are discussed.
Received: 29.05.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 3, Pages 2284–2296
DOI: https://doi.org/10.1007/s10958-000-0012-6
Bibliographic databases:
UDC: 271.21.21.17
Language: Russian
Citation: V. R. Krym, “Linear spaces of kinematic type”, Geometry and topology. Part 2, Zap. Nauchn. Sem. POMI, 246, POMI, St. Petersburg, 1997, 152–173; J. Math. Sci. (New York), 100:3 (2000), 2284–2296
Citation in format AMSBIB
\Bibitem{Kry97}
\by V.~R.~Krym
\paper Linear spaces of kinematic type
\inbook Geometry and topology. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 246
\pages 152--173
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl554}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1631800}
\zmath{https://zbmath.org/?q=an:0907.51006}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 3
\pages 2284--2296
\crossref{https://doi.org/10.1007/s10958-000-0012-6}
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  • https://www.mathnet.ru/eng/znsl/v246/p152
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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