In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the...In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the sub-complex realizes as a K(G, 1). This type of sub-complex appears naturally in several topological and algebraic contexts. In this note we prove that regularity of a partial group implies that the Kan extension condition is satisfied on its nerve in dimensions greater than one, and in dimension one a weaker version of the extension condition holds.展开更多
KANAS lies in the Altai Mountains in northern Xinjiang,150 kilometers from Burqin County,which is bordered by Kazakhstan,Russia,and Mongolia.With a span of 10,030 square kilometers,it is the largest 5A national scenic...KANAS lies in the Altai Mountains in northern Xinjiang,150 kilometers from Burqin County,which is bordered by Kazakhstan,Russia,and Mongolia.With a span of 10,030 square kilometers,it is the largest 5A national scenic area in China.It is also a national natural heritage site-and a national low-carbon tourism experimental area-which contains Kanas Lake National Geo Park and Baihaba National Forest Park.展开更多
“Kan”and“Jian”are both sense verbs in Chinese,but they can develop into multiple meanings and usage.In order to prove that the language in communication assumes the collective cultural experience and historical ba...“Kan”and“Jian”are both sense verbs in Chinese,but they can develop into multiple meanings and usage.In order to prove that the language in communication assumes the collective cultural experience and historical background,this article attempts,from the connection and differentiation between various meanings,to sort out how the semantic structure is defined in accordance with the situations where the words are used.In addition,based on the methods of the diachronic research and synchronic research,this article also observes the semantic evolution and the extensive concepts of imitation and implication.展开更多
文摘In our paper Simplicial K(G, 1)’s we constructed a sub-complex of the nerve of a group G determined by a partial group structure, and we proved, under a generalized associativity condition called regularity, that the sub-complex realizes as a K(G, 1). This type of sub-complex appears naturally in several topological and algebraic contexts. In this note we prove that regularity of a partial group implies that the Kan extension condition is satisfied on its nerve in dimensions greater than one, and in dimension one a weaker version of the extension condition holds.
文摘KANAS lies in the Altai Mountains in northern Xinjiang,150 kilometers from Burqin County,which is bordered by Kazakhstan,Russia,and Mongolia.With a span of 10,030 square kilometers,it is the largest 5A national scenic area in China.It is also a national natural heritage site-and a national low-carbon tourism experimental area-which contains Kanas Lake National Geo Park and Baihaba National Forest Park.
文摘“Kan”and“Jian”are both sense verbs in Chinese,but they can develop into multiple meanings and usage.In order to prove that the language in communication assumes the collective cultural experience and historical background,this article attempts,from the connection and differentiation between various meanings,to sort out how the semantic structure is defined in accordance with the situations where the words are used.In addition,based on the methods of the diachronic research and synchronic research,this article also observes the semantic evolution and the extensive concepts of imitation and implication.
