Topologicheskie Svoystva Funktsiy Na Dvukh- I Trekhmernykh Mnogoobraziyakh - Aleksandr Prishlyak - Books - Palmarium Academic Publishing - 9783847392675 - April 3, 2012
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Aleksandr Prishlyak
Topologicheskie Svoystva Funktsiy Na Dvukh- I Trekhmernykh Mnogoobraziyakh Russian edition

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Poluchennye v rabote rezul'taty polnost'yu reshayut problemu topologicheskoy klassifikatsii funktsiy Morsa na zamknutykh trekhmernykh mnogoobraziyakh, funktsiy na dvumernykh i trekhmernykh mnogoobraziyakh s kraem (m-funktsii) i bolee obshchikh ob"ektov: funktsiy s izolirovannymi kriticheskimi tochkami na zamknutykh poverkhnostyakh, funktsiy s tremya i chetyr'mya kriticheskimi tochkami na trekhmernykh mnogoobraziyakh, zamknutykh 1-form Morsa na zamknutykh poverkhnostyakh, otobrazheniy Uitni zamknutoy poverkhnosti na ploskost' i dr. Effektivnost' postroennykh klassifikatsiy prodemonstrirovana na primerakh podscheta chisla topologicheski ne ekvivalentnykh ob"ektov s zadannymi svoystvami. Postroennye polnye topologicheskie invarianty fakticheski opisyvayut te svoystva dinamicheskikh sistem i funktsiy, kotorye ne izmenyayutsya pri topologicheskikh preobrazovaniyakh (naprimer zamene sistemy koordinat), ne zavisyat ot sposoba izmereniya ili opisanie i t.p.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 3, 2012
ISBN13 9783847392675
Publishers Palmarium Academic Publishing
Pages 132
Dimensions 150 × 8 × 226 mm   ·   215 g
Language German  

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