The abstract, multidimensional varieties and their classification
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 ind...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2004-08-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/771 |
Summary: | 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. |
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ISSN: | 2457-6794 2501-059X |