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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 185–196 (Mi fpm853)  
This article is cited in 13 scientific papers (total in 13 papers)

Complete topological invariants of Morse–Smale flows and handle decompositions of 3-manifolds

A. O. Prishlyak

National Taras Shevchenko University of Kyiv
Full-text PDF (139 kB) Citations (13)
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Abstract: We construct a topological invariant for the canonical decomposition on prime and round handles associated with a Morse–Smale flow on a closed 3-manifold. We prove that the flows are topologically equivalent if and only if their invariants coincide.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 144, Issue 5, Pages 4492–4499
DOI: https://doi.org/10.1007/s10958-007-0287-y
Bibliographic databases:
UDC: 517.91
Language: Russian
Citation: A. O. Prishlyak, “Complete topological invariants of Morse–Smale flows and handle decompositions of 3-manifolds”, Fundam. Prikl. Mat., 11:4 (2005), 185–196; J. Math. Sci., 144:5 (2007), 4492–4499
Citation in format AMSBIB
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\by A.~O.~Prishlyak
\paper Complete topological invariants of Morse--Smale flows and handle decompositions of 3-manifolds
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 4
\pages 185--196
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2192964}
\zmath{https://zbmath.org/?q=an:1152.57029}
\elib{https://elibrary.ru/item.asp?id=9084358}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 5
\pages 4492--4499
\crossref{https://doi.org/10.1007/s10958-007-0287-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547535701}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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