Cross-cap singularities counted with sign

A method for computing the algebraic number of cross-cap singularities for mapping from m-dimensional compact manifold with boundary M ⊂ Rᵐ into R²ᵐ⁻¹, m is odd, is presented. As an application, the intersection number of an immersion g : Sᵐ⁻¹ (r) → R²ᵐ⁻² is described as the algebraic number of cros...

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Bibliographic Details
Date:2018
Main Author: Krzyzanowska, I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188361
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cross-cap singularities counted with sign / I. Krzyzanowska // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 257–268. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine