The algebraic structures built using [0, n) interval are new and innovative. They happen to have different properties. The interval [0, n) can be realized as the real algebraic closure of the modulo ring Zn. The algebraic behavior of [0, n) is different from the ring Zn.
The concept of non associative topological space is very new and interesting. In this book we have built non associative topological spaces using subsets of non associative algebraic structures like loops, groupoids, non associative rings and non associative semirings. We also find conditions on these non associative subset topological spaces to satisfy special identities like Bol, Moufang, right alternative, etc. The new notion will find several applications.