{"product_id":"9780486803258","title":"Foundations of Combinatorial Topology","description":"Hailed by \u003ci\u003eThe Mathematical Gazette\u003c\/i\u003e as \"an extremely valuable addition to the literature of algebraic topology,\" this concise but rigorous introductory treatment focuses on applications to dimension theory and fixed-point theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and elegant manner.\u003cbr\u003eIn addition to its value as a one-semester text for graduate-level courses, this volume can also be used as a reference in preparing for seminars or examinations and as a source of basic information on combinatorial topology. Although considerable mathematical maturity is required of readers, formal prerequisites are merely a few simple facts about functions of a real variable, matrices, and commutative groups.","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":47120076701936,"sku":"9780486803258","price":10.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780486803258_p0.jpg?v=1763709022","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780486803258","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}