TY - BOOK ID - 8508010 TI - Basic Algebraic Topology and its Applications PY - 2016 SN - 8132228413 813222843X PB - New Delhi : Springer India : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Group theory. KW - K-theory. KW - Topological groups. KW - Lie groups. KW - Algebraic topology. KW - Manifolds (Mathematics). KW - Complex manifolds. KW - Algebraic Topology. KW - Topological Groups, Lie Groups. KW - Manifolds and Cell Complexes (incl. Diff.Topology). KW - Group Theory and Generalizations. KW - K-Theory. KW - Groups, Lie KW - Groups, Topological KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Math KW - Topological Groups. KW - Cell aggregation KW - Topology KW - Algebraic topology KW - Homology theory KW - Algebra KW - Aggregation, Cell KW - Cell patterning KW - Cell interaction KW - Microbial aggregation KW - Continuous groups KW - Analytic spaces KW - Manifolds (Mathematics) KW - Geometry, Differential KW - Lie algebras KW - Symmetric spaces KW - Topological groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:8508010 AB - This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study. ER -