The abstract, multidimensional varieties and their classification

Authors

  • Mariana Bujac Faculty of Mathematics and Computer Science, Chisinau, Republic of Moldova
  • Petru Soltan Faculty of Mathematics and Computer Science, Chisinau, Republic of Moldova

DOI:

https://doi.org/10.33993/jnaat332-771

Keywords:

abstract multidimensional variety, Euler characteristic
Abstract views: 184

Abstract

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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References

Boltyanski, V. G. and Efrimovici, V. A., Nagliadnaya topologya, Moscow, pp. 2-148, 1982 (in Russian).

Boltyanski, V. G., Gomotopiceskaya teoriya nepreryvnyh otobrajenii i vectornyn polei, Izd. ANSSSR, Moscow, pp. 2-199, 1995 (in Russian).

Martini, H., Soltan, P., On the Homologies of Multi-ary Relations, JCMCC, 45, pp. 219-243, 2003.

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Published

2004-08-01

How to Cite

Bujac, M., & Soltan, P. (2004). The abstract, multidimensional varieties and their classification. Rev. Anal. Numér. Théor. Approx., 33(2), 163–165. https://doi.org/10.33993/jnaat332-771

Issue

Vol. 33 No. 2 (2004)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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