定义1 广义拓扑空间 X 称为 W 型的当且仅当它满足附加条件:[W]a∧b=0a∩b=0.易见不分明拓扑空间与拓扑空间都是 W 型的。但一致空间与接近空间却不是 W 型的。因为,如设 A=expX-{φ,X},B={φ,X},则A∧B=cxpX但 A≮B°.W 型的广义...定义1 广义拓扑空间 X 称为 W 型的当且仅当它满足附加条件:[W]a∧b=0a∩b=0.易见不分明拓扑空间与拓扑空间都是 W 型的。但一致空间与接近空间却不是 W 型的。因为,如设 A=expX-{φ,X},B={φ,X},则A∧B=cxpX但 A≮B°.W 型的广义拓扑空间的范畴记为 Wts。显然,Fts 与 Top 都是 Wts 的满子范畴,而Wts 则是 Gts 的满子范畴。展开更多
In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping pres...In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping preserve quasi-Nagata spaces, and finite-to-one open mappings don't preserve quasi-Nagata spaces.展开更多
In this paper we investigate generalized bi quasi variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence t...In this paper we investigate generalized bi quasi variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence theorems of solutions for generalized bi quasi variational inequalities,which are the extension and improvements of the earlier and recent results obtained previously by many authors including Sun and Ding [18],Chang and Zhang [23] and Zhang [24].展开更多
Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].
In this paper, the authors introduce and study the concept of （1, 2）^＊-generalized closed sets with respect to an ideal in a bitopological space. Also, some characterizations and applications of（1, 2）^＊-generali...In this paper, the authors introduce and study the concept of （1, 2）^＊-generalized closed sets with respect to an ideal in a bitopological space. Also, some characterizations and applications of（1, 2）^＊-generalized closed sets are given.展开更多
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...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.展开更多
文摘定义1 广义拓扑空间 X 称为 W 型的当且仅当它满足附加条件:[W]a∧b=0a∩b=0.易见不分明拓扑空间与拓扑空间都是 W 型的。但一致空间与接近空间却不是 W 型的。因为,如设 A=expX-{φ,X},B={φ,X},则A∧B=cxpX但 A≮B°.W 型的广义拓扑空间的范畴记为 Wts。显然,Fts 与 Top 都是 Wts 的满子范畴,而Wts 则是 Gts 的满子范畴。
文摘In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping preserve quasi-Nagata spaces, and finite-to-one open mappings don't preserve quasi-Nagata spaces.
文摘In this paper we investigate generalized bi quasi variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence theorems of solutions for generalized bi quasi variational inequalities,which are the extension and improvements of the earlier and recent results obtained previously by many authors including Sun and Ding [18],Chang and Zhang [23] and Zhang [24].
文摘Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].
文摘In this paper, the authors introduce and study the concept of （1, 2）^＊-generalized closed sets with respect to an ideal in a bitopological space. Also, some characterizations and applications of（1, 2）^＊-generalized closed sets are given.
文摘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.
