By Edwin H. Spanier
Meant to be used either as a textual content and a reference, this booklet is an exposition of the elemental rules of algebraic topology. the 1st 3rd of the booklet covers the basic team, its definition and its software within the examine of overlaying areas. the point of interest then turns to homology thought, together with cohomology, cup items, cohomology operations, and topological manifolds. the remainder 3rd of the booklet is dedicated to Homotropy idea, protecting simple evidence approximately homotropy teams, purposes to obstruction idea, and computations of homotropy teams of spheres. within the later elements, the most emphasis is at the software to geometry of the algebraic instruments constructed previous.