Geometry of Simplicial Complexes and Fundamental Groups of Polyhedra
This chapter conveys the geometry of finite simplicial complexes which provides a convenient way to study manifolds and builds up interesting topological spaces called polyhedra from these complexes followed by a study of their homotopy properties with computing their fundamental groups and develops certain analytical geometric tools for subsequent chapters.
KeywordsTopological Space Fundamental Group Simplicial Complex Homology Group Algebraic Topology
- Armstrong, M.A.: Basic Topology. Springer, New York (1983)Google Scholar
- Singer, I.M., Thrope, J.A.: Lecture Notes on Elementary Topology and Geometry. Springer, New York (1967)Google Scholar
- Veblen, O.: Analysis Situs, vol. 2. Part II. American Mathematical Society Colloquium Publications, New York (1922)Google Scholar
- Wallace, A.H.: Algebraic Topology. Benjamin, New York (1980)Google Scholar