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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, номер 2-3, страницы 106–110
(Mi basm337)
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Minimal $m$-handle decomposition of three-dimensional handlebodies
Alexander Prishlyak, Elena Vyatchaninova Taras Shevchenko Kiev National University, Geometry department,
4-e, Academician Glushkov pr., Kiev, Ukraine, 03127
Аннотация:
For the $3$-dimensional handlebody we build an $m$-handle decomposition with minimal number of handles and prove a criterion of minimality. It is proved that two functions can be connected by a path in the $m$-function space without inner critical points on the solid torus if they have the same number of critical points of each index.
Ключевые слова и фразы:
$m$-function, handlebody, solid torus.
Поступила в редакцию: 03.12.2012
Образец цитирования:
Alexander Prishlyak, Elena Vyatchaninova, “Minimal $m$-handle decomposition of three-dimensional handlebodies”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3, 106–110
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm337 https://www.mathnet.ru/rus/basm/y2013/i2/p106
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Страница аннотации: | 133 | PDF полного текста: | 59 | Список литературы: | 42 |
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