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result(s) for
"Open msets"
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Root Open and Root Closed Multisets
The root open msets and root closed msets associated with an mset topology are introduced and their basic properties are discussed.
Journal Article
On (τ1,τ2)∗-pre-open msets and decomposition of mset continuity in multiset topological space
In this article, we use a completely new technique to formulate the definitions of
(
τ
1
,
τ
2
)
∗
-pre-open mset,
(
τ
1
,
τ
2
)
∗
-semi-open mset,
(
τ
1
,
τ
2
)
∗
-
α
-open mset and
(
τ
1
,
τ
2
)
∗
-
β
-open mset via two multiset topologies. We prove that every
τ
2
-open mset is
(
τ
1
,
τ
2
)
∗
-pre-open mset,
(
τ
1
,
τ
2
)
∗
-semi-open mset,
(
τ
1
,
τ
2
)
∗
-
α
-open mset and
(
τ
1
,
τ
2
)
∗
-
β
-open mset. Furthermore, we introduce the notions of several weaker forms of multiset continuity between two multiset topological spaces. Finally, a decomposition of these weaker types of multiset continuity has been established.
Journal Article