In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space's homotopy groups using an inverse system of topological spaces whose homotopy type at degree agrees with the truncated homotopy type of the original space . Postnikov systems were introduced by, and are named after, Mikhail Postnikov.
topology, a Postnikovsystem (or Postnikov tower) is a way of decomposing a topological space's homotopy groups using an inverse system of topological...
1985; 374 pp. PostnikovsystemPostnikov square Sacksteder, Richard (1970). "Review of The variational theory of geodesics by M. M. Postnikov". Bulletin...
topology, a branch of mathematics. Fibrations are used, for example, in Postnikovsystems or obstruction theory. In this article, all mappings are continuous...
_{4}\left(S^{3}\right)=\mathbb {Z} /2,} which can be computed using the Postnikovsystem, we have the long exact sequence ⋯ → π 4 ( S O ( 3 ) ) → π 4 ( S O...
S2CID 59553748. Lur'e, A. I.; Postnikov, V. N. (1944). "К теории устойчивости регулируемых систем" [On the Theory of Stability of Control Systems]. Prikladnaya Matematika...
Poincaré homology sphere. Pontrjagin–Thom construction Postnikovsystem A Postnikovsystem is a sequence of fibrations, such that all preceding manifolds...
p : E → B is not a fibration. It is crucial to the construction of Postnikovsystems. In geometric topology, obstruction theory is concerned with when...
the natural logarithm consequently is negative in this domain. Mikhail Postnikov's 1979 textbook Lectures in Geometry appeals to certain geometric transformations...
Submarine Freight Transportation System (SFTS) was suggested in 1997 by Vladimir Postnikov. Present time this system is considered as a sea subsystem...
in 1964. Maunder's field of work was algebraic topology. He used Postnikovsystems to give an alternative construction of the Atiyah–Hirzebruch spectral...
Life and the Earth's Oldest Petroleum Systems". Retrieved 15 March 2019. Khomentovsky, V; Nagovitsin, K; Postnikov, A (2008). "Mayanian (1100–850 Ma) –...
Society, 1794–1912. United States Government Printing Office. pp. 28–30. Postnikov, Alexey; Falk, Marvin (2015). Exploring and Mapping Alaska: The Russian...
Vladimir Boltyansky, Revaz Gamkrelidze, Yevgeny Mishchenko, Mikhail Postnikov, Vladimir Rokhlin, and Mikhail Zelikin. Pontryagin participated in a few...
Русское поселение на Аляске в XVII в.? "Природа". М., 1992. No. 4. С.67–69. Postnikov, Alexey V. (2000). "Outline of the History of Russian Cartography". Regions:...
(2nd Ed.), Reading: Addison Wesley Longman, ISBN 0-321-01618-1 Mikhail Postnikov (1982) Lectures in Geometry Semester I Analytic Geometry via Internet...
the string group. If the process repeats, this results in a walk up the Postnikov tower. These are theoretical hypotheses; demonstrating such concepts in...
Low-Cost Personal Rapid Transit". www.skytran.net. Retrieved 2018-02-23. Global Intelligent Transportation System (proposed by Vladimir Postnikov in 2010)...
Foundations". Journal of the AMS. 15: 497–529. Fomin, S.; Gelfand, S.; Postnikov, A. (1997). "Quantum Schubert Polynomials". Journal of the AMS. 10: 565–596...
equine milk and kumyss on humans.[unreliable source?][unreliable source?] Postnikov, a Russian doctor who dedicated his entire life to the research and use...
Springer-Verlag. doi:10.1007/978-1-4612-0853-2. ISBN 978-0-387-94225-4. MR 1282723. Postnikov, Mikhail Mikhaĭlovich (2004). Foundations of Galois Theory. With a foreword...
forecast population infected by Covid-19". arXiv:2004.02406 [q-bio.PE]. Postnikov, Eugene B. (June 2020). "Estimation of COVID-19 dynamics "on a back-of-envelope":...
Academy of Sciences, Far Eastern Branch Sobisevich A. V., Snytko V. A., Postnikov A. V. The surrounding environment monitoring in the Soviet Union: a review...
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