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Quotient Tritopology, Quotient Maps and Quotient Spaces in Tritopological Spaces |
Asmhan Flieh Hassan
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Abstract:
In this work we shall investigate the reciprocal situation. If is a function from tritopological space onto a set , how may be tritopologized so that is -continuous?. And we present theorem shows that there exists the -largest tritopology for relative to which is -continuous.
A main motivation for studying this subject is that, there is no published article about the Quotient Tritopological Spaces, we have defined it w.r.t. -open set in tritopological spaces which we named it “ - Quotient Spaces”. Furthermore, we provide necessary conditions to some theorems for these spaces to be preserved.
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