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- 3.1 The Set Function T3.2 Idempotency of T; 3.3 Continuity of T; 3.4 Three Decomposition Theorems; 3.5 Examples of Continua for Which T Is Continuous; 3.6 T-Closed Sets; 3.7 Applications; References; 4 A Theorem of E. G. Effros; 4.1 Topological Groups; 4.2 Group Actions and a Theorem of Effros; References; 5 Decomposition Theorems; 5.1 Jones's Theorem; 5.2 Detour to Covering Spaces; 5.3 Rogers's Theorem; 5.4 Case and Minc-Rogers Continua; 5.5 Covering Spaces of Some Homogeneous Continua; References; 6 n-Fold Hyperspaces; 6.1 General Properties; 6.2 Unicoherence; 6.3 Aposyndesis6.4 Arcwise Accessibility6.5 Points That Arcwise Disconnect; 6.6 C*n-Smoothness; 6.7 Z-Sets; 6.8 Retractions; 6.9 Graphs; 6.10 Cones, Suspensions and Products; 6.11 Strong Size Maps; References; 7 n-Fold Hyperspace Suspensions; 7.1 General Properties; 7.2 Contractibility; 7.3 Aposyndesis; 7.4 Local Connectedness; 7.5 Points That Arcwise Disconnect; 7.6 Cones, Suspensions and Products; 7.7 Fixed Points; 7.8 Absolute n-Fold Hyperspace Suspensions; 7.9 Hereditarily Indecomposable Continua; References; 8 Induced Maps on n-Fold Hyperspaces; 8.1 General Maps; 8.2 Induced Maps; 8.3 Confluent Maps8.4 Monotone Maps8.5 Open Maps; 8.6 Light Maps; 8.7 Freely Decomposable and Strongly Freely Decomposable Maps; References; 9 Questions; 9.1 Inverse Limits; 9.2 The Set Function T; 9.3 Homogeneous Continua; 9.4 n-Fold Hyperspaces; 9.5 n-Fold Hyperspace Suspensions; 9.6 Induced Maps on n-Fold Hyperspaces; References; IndexIntro; Preface to the Second Edition; Preface to the First Edition; Contents; 1 Preliminaries; 1.1 Product Topology; 1.2 Continuous Decompositions; 1.3 Homotopy and Fundamental Group; 1.4 Geometric Complexes and Polyhedra; 1.5 Complete Metric Spaces; 1.6 Compacta; 1.7 Continua; 1.8 Hyperspaces; References; 2 Inverse Limits and Related Topics; 2.1 Inverse Limits; 2.2 Inverse Limits and the Cantor Set; 2.3 Inverse Limits and Other Operations; 2.4 Chainable Continua; 2.5 Circularly Chainable and P-Like Continua; 2.6 Universal and AH-Essential Maps; References; 3 Jones's Set Function TThis book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, the Jones set function T, homogenous continua, and n-fold hyperspaces. In this new edition of the book, the author builds on the aforementioned topics, including the unprecedented presentation of n-fold hyperspace suspensions and induced maps on n-fold hyperspaces. The first edition of the book has had a remarkable impact on the continuum theory community. After twelve years, this updated version will also prove to be an excellent resource within the field of topology.--