ABSTRACT MULTIDIMENSIONAL DEGENERATE VARIETIES

Sergiu CATARANCIUC Universitatea de Stat din Moldova

Аннотация

A degenerate n -dimensional variety is defined and some of its properties are studied. Varieties are considered closed, connected, homogeneous and without holes. In this paper the classification of degenerate n-dimensional varieties is done using generalized complexes of multi-ary relations. The results obtained are similar to results for classical varieties of genus p [5,11,12], which are based on simple complex of multi-ary relation. Keywords: multi-ary relations, quasisimplex, degenerate manifold, homology group, abstract varieties, n-dimensional loop.