Introduces algebraic topology using the novel approach of homotopy theory. The basic concepts of homotopy theory are used to construct singular homology and coh... » 

Introduces algebraic topology using the novel approach of homotopy theory. The basic concepts of homotopy theory are used to construct singular homology and cohomology, as well as K-theory. Throughout the text many other fundamental concepts are introduced, incl. the construction of the characteristic classes of vector bundles.32 «