This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. With its stress on concreteness, motivation, and readability "Differential Forms in Algebraic Topology" should be suitable for self-study or for a one- semester course in topology.

Inhalt
I De Rham Theory.- II The ?ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.