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 |
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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 |
| _version_ | 1818109669199052800 |
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| author | Mariana Bujac Petru Soltan |
| author_facet | Mariana Bujac Petru Soltan |
| author_sort | Mariana Bujac |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T02:34:55Z |
| format | Article |
| id | doaj.art-c61058dc01ee442a932f08bb50110f08 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T02:34:55Z |
| publishDate | 2004-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-c61058dc01ee442a932f08bb50110f082022-12-22T01:23:45ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2004-08-01332The abstract, multidimensional varieties and their classificationMariana Bujac0Petru Soltan1Faculty of Mathematics and Computer Science, Chisinau, Republic of MoldovaFaculty of Mathematics and Computer Science, Chisinau, Republic of MoldovaWe 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.https://ictp.acad.ro/jnaat/journal/article/view/771abstract multidimensional varietyEuler characteristic |
| spellingShingle | Mariana Bujac Petru Soltan The abstract, multidimensional varieties and their classification Journal of Numerical Analysis and Approximation Theory abstract multidimensional variety Euler characteristic |
| title | The abstract, multidimensional varieties and their classification |
| title_full | The abstract, multidimensional varieties and their classification |
| title_fullStr | The abstract, multidimensional varieties and their classification |
| title_full_unstemmed | The abstract, multidimensional varieties and their classification |
| title_short | The abstract, multidimensional varieties and their classification |
| title_sort | abstract multidimensional varieties and their classification |
| topic | abstract multidimensional variety Euler characteristic |
| url | https://ictp.acad.ro/jnaat/journal/article/view/771 |
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