1.Thye topology of polyhedra. 2.Homology theory pf a simplicial complex. 3.Chain complexes. 4.The contrahomology ring for polyhedral. 5.Abelian groups and homological algebra. 6.The fundamental group and covering spaces. 7.Contrahomology and maps. 8.Singular homology theory. 9.The singular homology theory and homology theory of groups.