New Generalization of Manifolds and Orbifolds Using of Generalized Groups

Abstract

Our ultimate goal in this paper is to introduce a special type of topological spaces including manifolds and also, orbifolds. Because of using of generalized groups, we call them $GG$-spaces. We will study their properties, and then we will introduce a special $GG$-space that is not manifold and orbifold. Finally we obtain conditions that cause a $GG$-space to become manifold.

Keywords

• generalized group
• t-space
• quotient space
• orbifold
• $gg$-space