A NOTE ON GEOMETRIC SURFACES
JAMES BAAH ACHAMFOOUR *
Department of Mathematics, Faculty of Physical and Computational Sciences, College of Science, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
WILLIAMOBENG-DENTEH .
Department of Mathematics, Faculty of Physical and Computational Sciences, College of Science, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
*Author to whom correspondence should be addressed.
Abstract
The concept of fundamental group of a topological space is explored with Seifert van-Kampen theorem and how they contribute to differentiating between some geometric surfaces. Some useful results and concepts of group theory together with classification of surfaces will serve as a prerequisite to enhance the study of the concept and some of its applications will be introduced, studied and proved.
Keywords: Fundamental group, simply connected, loop, geometric surface, Seifert van-Kampen theorem, homeomorphic