2. Second symmetry products of finite graph from homotopy perspective

  • Stevence Rayans
Keywords: Symmetry product, bi-nomial torus, homeomorph, spaces, n-circle, Euler characteristics


This research explains the arrangement of the n-folds symmetry products of a finite graphs by means of its homotopical types, having a universe model the n-folds symmetry products of the wedges of n-circle; and proposes a CW-complex known as bi-nomial torus, which is homeomorph to the spaces that are strong deformation retracts of the second symmetry product of the wedges of n-circle. Implementing the forementioned information, this paper calculates the basic groups, Eulers characteristics, homologic and co-homologic group of the second symmetry products of finite graph.