A NEW EXACT SEQUENCE A generalization of J.H.C.Whiteheads " Certain exact sequence

Abstract

In this work we introduce and study a new notion in algebraic topology , which we call " a new exact sequence " which is a generalization of " a certain exact sequence " of J.H.C.Whitehead .Consider the following sequence : denote The sequence defined in a natural manner , Where we call " a new exact sequence " which is denoted by NES . We obtain some results from NES , which are ; The our NES it is really exact , the class of all NES,s andthe homomorphisms between these sequences forms a category .