一致空间中的群结构

一致空间作为介于拓扑空间与度量空间之间的一类空间 ,它与拓扑空间和度量空间有着密切的联系 .文章从群这个侧面去研究了一致空间的代数特征 ,在一致结构上建立了群结构 ,讨论了它与一致空间和拓扑群的联系 ,即当拓扑中有群结构时便可产生一致结构 ;并给出了一致空间的同态定理 ,这为进一步探讨拓扑空间以及度量空间的关系和结构创造了一定的条件 .

Separation axioms under crossover operator and its generalized

The purpose of this work is to construct a new crossover operator using the properties of DNA and RNA by using topological concepts in constructing flexible mathematical models in the field of biomathematics. Also, we investigate and study topological prop- erties of the constructed operators and the associated topological spaces of DNA and RNA. Finally we use the process of exchange for sequence of genotypes structures to construct new types of topological concepts to investigate and discuss several examples and some of their properties.