On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II
In this paper we consider the smooth functions with three critical values on two-dimensional sphere $S^2$, that possess only one (degenerate) saddle critical point in addition to $M$ local maxima and $m$ local minima. For any natural $M$ and $m$ we calculate the number of topologically non-equivalen...
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Odessa National Academy of Food Technologies
2015-09-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
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| Online Access: | http://journals.uran.ua/geometry/article/view/50155 |
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doaj-8a74299b7c9f4b37a0dd10b3b1b95ccf2020-11-24T20:56:00ZrusOdessa National Academy of Food TechnologiesPracì Mìžnarodnogo Geometričnogo Centru 2072-98122015-09-018110.15673/2072-9812.1/2015.5015547270On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, IIАлександр Анатольевич Кадубовский0Донбасский государственный педагогический университетIn this paper we consider the smooth functions with three critical values on two-dimensional sphere $S^2$, that possess only one (degenerate) saddle critical point in addition to $M$ local maxima and $m$ local minima. For any natural $M$ and $m$ we calculate the number of topologically non-equivalent such functions.http://journals.uran.ua/geometry/article/view/50155гладкая функциякритична точка типа седлоповерхностьтопологическая классификация2-цветная хордовая диаграммаразбиения без самопересеченийчисла Нараяна |
| collection |
DOAJ |
| language |
Russian |
| format |
Article |
| sources |
DOAJ |
| author |
Александр Анатольевич Кадубовский |
| spellingShingle |
Александр Анатольевич Кадубовский On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II Pracì Mìžnarodnogo Geometričnogo Centru гладкая функция критична точка типа седло поверхность топологическая классификация 2-цветная хордовая диаграмма разбиения без самопересечений числа Нараяна |
| author_facet |
Александр Анатольевич Кадубовский |
| author_sort |
Александр Анатольевич Кадубовский |
| title |
On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II |
| title_short |
On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II |
| title_full |
On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II |
| title_fullStr |
On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II |
| title_full_unstemmed |
On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II |
| title_sort |
on the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, ii |
| publisher |
Odessa National Academy of Food Technologies |
| series |
Pracì Mìžnarodnogo Geometričnogo Centru |
| issn |
2072-9812 |
| publishDate |
2015-09-01 |
| description |
In this paper we consider the smooth functions with three critical values on two-dimensional sphere $S^2$, that possess only one (degenerate) saddle critical point in addition to $M$ local maxima and $m$ local minima. For any natural $M$ and $m$ we calculate the number of topologically non-equivalent such functions. |
| topic |
гладкая функция критична точка типа седло поверхность топологическая классификация 2-цветная хордовая диаграмма разбиения без самопересечений числа Нараяна |
| url |
http://journals.uran.ua/geometry/article/view/50155 |
| work_keys_str_mv |
AT aleksandranatolʹevičkadubovskij onthenumberoftopologicallynonequivalentfunctionswithonedegeneratesaddlecriticalpointontwodimensionalsphereii |
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1716791165047537664 |