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Matematicheskie Zametki, 2017, Volume 102, Issue 4, Pages 613–618
DOI: https://doi.org/10.4213/mzm11650 (Mi mzm11650) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief Communications

An Analog of Smale's Theorem for Homeomorphisms with Regular Dynamics

V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, O. V. Pochinka

National Research University "Higher School of Economics", Nizhny Novgorod Branch
Full-text PDF (441 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11650
Keywords: Morse–Smale homeomorphisms, topological transversality, submanifold.
Funding agency Grant number
Russian Science Foundation 17-11-01041
National Research University Higher School of Economics 90
The proof of the main theorem was supported by the Russian Science Foundation under grant 17-11-01041 and the study of the dynamic order on the set of periodic points (the lemma) was supported by the 2017 Program of Basic Research at National Research University Higher School of Economics under grant no. 90.
Received: 20.04.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 569–574
DOI: https://doi.org/10.1134/S0001434617090292
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, O. V. Pochinka, “An Analog of Smale's Theorem for Homeomorphisms with Regular Dynamics”, Mat. Zametki, 102:4 (2017), 613–618; Math. Notes, 102:4 (2017), 569–574
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11650
  • https://www.mathnet.ru/eng/mzm/v102/i4/p613
    • This publication is cited in the following 4 articles:
    1. T. V. Medvedev, O. V. Pochinka, S. Kh. Zinina, “On existence of Morse energy function for topological flows”, Adv. Math., 378 (2021), 107518  crossref  mathscinet  zmath  isi  scopus
    2. Olga V. Pochinka, Svetlana Kh. Zinina, “Construction of the Morse –Bott Energy Function for Regular Topological Flows”, Regul. Chaotic Dyn., 26:4 (2021), 350–369  mathnet  crossref
    3. V. Z. Grines, E. Ya. Gurevich, O. V. Pochinka, “A Combinatorial Invariant of Morse–Smale Diffeomorphisms without Heteroclinic Intersections on the Sphere Sn, n⩾4”, Math. Notes, 105:1 (2019), 132–136  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. Grines, E. Gurevich, O. Pochinka, “On embedding of multidimensional Morse–Smale diffeomorphisms into topological flows”, Mosc. Math. J., 19:4 (2019), 739–760  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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