On Mixed Multiset Ideal Topological Spaces

Abstract

The concept of mixed multiset topology was introduced and investigated by different researchers from different aspects. In this paper, we introduce the notion of mixed multiset ideal topological space. Further, we define the concepts of $\tau_1(\tau_2)$-pre-$\mathcal{I}$-open mset, $\tau_1(\tau_2)$-semi-$\mathcal{I}$-open mset, $\tau_1(\tau_2)$-$\alpha$-$\mathcal{I}$-open mset and $\tau_1(\tau_2)$-$\delta$-$\mathcal{I}$-open mset in mixed multiset ideal topological space. We investigate on this generalized open multisets.