VARIETĂŢI ABSTRACTE MULTIDIMENSIONALE DEGENERATE
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
CEP USM
Abstract
Este definită varietatea degenerată n -dimensională şi sunt studiate unele proprietăţi ale acesteia. Varietăţile sunt considerate închise, conexe, omogene şi fără găuri. Pornind de la complexul generalizat de relaţii multi-are, se face clasificarea varietăţilor degenerate. Rezultatele obţinute sunt similare celor cunoscute pentru varietăţile clasice de genul
p [5,11,12], studiate prin intermediul complexului simplu de relaţii multi-are.
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.
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.
Description
Keywords
relaţii multi-are, quasisimplex, varietate degenerată, grup de omologii, multi-ary relations, degenerate manifold, homology group, n-dimensional loop
Citation
CATARANCIUC, Sergiu. Varietăţi abstracte multidimensionale degenerate. In: Studia Universitatis Moldaviae. Seria Ştiinţe Exacte şi Economice: Matematică. Informatică. Fizică. Economie. Revistă științifică. 2013, nr. 2(62), pp. 10-22. ISSN 1857-2073.