ABSTRACT COMPLEXES, THEIR HOMOLOGIES AND APPLICATIONS

Cataranciuc, Sergiu; Soltan, Petru

dc.contributor.author	Cataranciuc, Sergiu
dc.contributor.author	Soltan, Petru
dc.date.accessioned	2021-10-18T08:36:52Z
dc.date.available	2021-10-18T08:36:52Z
dc.date.issued	2010
dc.identifier.citation	CATARANCIUC, Sergiu, SOLTAN, Petru. Abstract complexes, their homologies and applications. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2010, nr. 2(63), pp. 31-58. ISSN 1024-7696.	en
dc.identifier.issn	1024-7696
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/4922
dc.description.abstract	The complex of multi-ary relations Kn is defined in a more natural way than it was defined in [18, 58, 59]. The groups of homologies and co-homologies of this complex over the group of integer numbers are constructed. The methods used for these constructions are for the most part analogous with classical methods [2,32,52], but sometimes they are based on methods from [18,44,58]. The importance and originality consist in application of the multi-ary relations of a set of objects in construction of homologies. This allows to extend areas of theoretical researches and non-trivial practical applications in a lot of directions. Other abstract structures, which are developed in a natural way from generalized complex of multi-ary relations are also examined. New notions such as the notions of abstract quasi-simplex and its homologies, the complex of abstract simplexes and the complex of the n-dimensional abstract cubes are introduced.	en
dc.language.iso	en	en
dc.publisher	Institutul de Matematică şi Informatică al AŞM	en
dc.subject	manifold	en
dc.subject	abstract cube	en
dc.subject	quasi-simplex	en
dc.subject	multidimensional Euler tour	en
dc.title	ABSTRACT COMPLEXES, THEIR HOMOLOGIES AND APPLICATIONS	en
dc.type	Article	en