Basic Concepts of Algebraic Topology

Download or read book Basic Concepts of Algebraic Topology written by Fred H. Croom and published by . This book was released on 1978 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text traces the development of algebraic topology form its inception in 1895 through the development of singular homology theory. Primary topics include geometric complexes, simplicial homology groups, simplicial mappings, the fundamental group, covering spaces, and introductory singular homology theory, as well as the higher homotopy groups and the homology sequence--two areas seldom covered in introductory text. The author develops many important applications, including the fixed point theorems of Brouwer and Lefschetz, vector fields on spheres, and the covering homotopy property.