$\delta$-generalized semi-closed sets.
 作者： M.K.R.S. Veera Kumar 刊名： J. Inst. Math. Comput. Sci., Math. Ser., 2004, Vol.17 (3), pp.223-231 来源数据库： ZBMATH期刊 关键词： $\delta$-gs-continuous maps;  $\delta$-gs-irresolute maps; 原始语种摘要： Summary: We introduce a new class of sets, namely the class of $\delta$-generalized semi-closed (briefly $\delta$-gs-closed) sets by generalizing open sets via $\delta$-semi-closure. This class is properly placed between the classes of $\delta$-sg-closed sets and gs-closed sets. The class of $\delta$-gs-closed sets properly contains the class of $\delta$-semi-closed sets, and thus it contains the class of $\delta$-closed sets. This class is properly contained in the class of gsp-closed sets. The class of $\delta$-gs-closed sets is independent of the classes of closed sets, $\alpha$-closed sets, semi-closed sets, $\psi$-closed sets, semi-preclosed sets, preclosed sets, g-closed sets, sg-closed sets, $\delta$-preclosed sets and the class of $\delta$-g-closed sets. Applying... $\delta$-gs-closed sets, we introduce $_{\delta_{\text{gs}}}T_{\delta_{\text{s}}}$ spaces, $_{\delta_{\text{gs}}}T_{\delta_{\text{sg}}}$ spaces, $_{\text{gsp}} T_{\delta_{\text{gs}}}$ spaces and $_{\text{gs}}T_{\delta_{\text{g s}}}$ spaces. Further, we introduce and study $\delta$-gs-continuous maps and $\delta$-gs-irresolute maps.

• closed　闭路的
• delta　三角洲
• class
• generalized　广义
• introduce　引进
• irresolute　犹豫不决的
• continuous　连续的
• properly　适当地
• briefly　简洁的
• alpha　接字母顺序的