The abstract, multidimensional varieties and their classification

Journal of Numerical Analysis and Approximation Theory

Mariana Bujac¹  Petru Soltan¹ 

[1] Faculty of Mathematics and Computer Science, Chisinau, Republic of Moldova;

关键词: abstract multidimensional variety;    Euler characteristic;   

DOI  :  

来源: DOAJ

【 摘 要 】

We define abstract multidimensional variety without borders, using the investigation of the complex of multi-ary relations (H. Martini and P. Soltan, 2003 [3]) and the notion of compact, combinatorial, multidimensional variety without borders (V. G. Boltyanski and V. A. Efrimovici, 1982 [1]). We indicate the classification of this kind of varieties similarly to the results of classification of compact, two-dimensional surfaces without borders (V. G. Boltyanski and V. A. Efrimovici, 1982 [1]). We use varieties' genders (modulo Euler characteristic (V. G. Boltyanski, 1995 [2])) to classify them.

【 授权许可】

Unknown