This long-needed volume, a combines reference and text, presents a mixture of classical and modern continuum theory techniques and contains easy-to-follow proofs as well as numerous examples and counterexamples. Providing many end-of-chapter exercises to augment ideas and illustrate techniques and concepts, Continuum Theory displays complete proofs of all results, including the Hahn-Mazurkiewicz and Sorgenfrey theorems, the inverse limit characterization of chainable continua, and characterization of graphs and dendrites ... gives continuum theory methods, such as inverse limits, usc decompositions, location of non-cut points, set-valued maps, order, limits of sets, and triods ... considers the global analysis and local structure of continua, the structure of special continua, and special types of maps ... unifies the subject by the nested intersection technique, which is used to construct continua and maps as well as to prove theorems ... discusses and constructs indecomposable continua ... and more.