Jean Dieudonné 
A History of Algebraic and Differential Topology, 1900 — 1960 [PDF ebook] 

Simplicia1 Techniques and Homology.- The Work of Poincar#x00E9;.- The Build-Up of #x201C;Classical#x201D; Homology.- The Beginnings of Differential Topology.- The Various Homology and Cohomology Theories.- The First Applications of Simplicia1 Methods and of Homology.- The Concept of Degree.- Dimension Theory and Separation Theorems.- Fixed Points.- Local Homological Properties.- Quotient Spaces and Their Homology.- Homolagy of Groups and Homogeneous Spaces.- Applications of Homology to Geometry and Analysis.- Homotopy and its Relution to Homology.- Fundamental Group and Covering Spaces.- Elementary Notions and Early Results in Homotopy Theory.- Fibrations.- Homology of Fibrations.- Sophisticated Relations between Homotopy and Homology.- Cohomology Operations.- Generalized Homology and Cohomology.