W. B. Vasantha Kandasamy, Florentin Smarandache
2015
In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built. Several interesting results in this direction are obtained. Next six types of topological spaces using subset interval pseudo ring semiring of type I is built and they are illustrated by examples. Strong Super Special Subset interval subset topological spaces (SSSS-interval subset topological spaces are constructed using the algebraic structures semigroups, pseudo groups or semirings or pseudo rings. These topological spaces behave in a very different way. Several problems are suggested at the end of each chapter of the book.
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