Cell decompositions and CW-complexes

In this thesis , at first , we give the fundamental concepts of point set topology and algebraic topology. Secondly , we will investigate identification space which is the forrunner of simplicial and CW ?complexes and give the definition of adjunction spaces which is accept as the begining of algebraic topology, and give some basic properties. Last of all we give the constructions of simplicial and CW-complexes , compare these structures and give the advantages and disadvantages up to the usage in problems.