Abstract

A family m_X of subsets of a nonempty set X is called an m-structure. A set X with a topology_x001C_ and m-structure mX is called a mixed-space and is denoted by (X,tau,m_X). As a generalization of g-closed sets due to Levine, we introduce the notion of mg-closed sets in (X,tau,m_X). By using m_g-open sets, we define and investigate mixed-regularity and mixed-normality in (X,tau,m_X). As special cases, we obtain I_g-regular spaces and s-normal spaces.

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