I. cw-Complex

Dheia   Al-Khafajy

doi:10.24996/

Authors

Dheia Al-Khafajy Department of Mathematics,College of Computer Science and Mathematics, Al-Qadisiya University,Al-Qadisiya , Iraq

DOI:

https://doi.org/10.24996/

Keywords:

cw-complexes , homotopy and homology group , new exact sequence , spectral sequences

Abstract

In this paper we introduce a new tool in algebraic topology which is called
(analogous terminology of J.H.C. Whitehead in [1] ) .
By studying effect of this complex on the spectral sequences , we obtained some
results , such as ;
1- Any complex is an
2- Let are two cw-complexes , if , then
.
3- If is , then
.
4- Let be a cw-complex , if is a , then is a
, and the converse is not true .