Title of article :
New Generalization of Manifolds and Orbifolds Using of Generalized Groups
Author/Authors :
Maleki ، H. Faculty of Mathematical Sciences and Statistics - Malayer University Malayer , Molaie ، Mohamad Reza Department of Mathematics - Shahid Bahonar University of Kerman
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.
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center