Topics on continua
Sergio Macı́as · Medical Entomology and Zoology · 2005
PRELIMINARIES Product Topology Continuous Decompositions Homotopy and Fundamental Group Geometric Complexes and Polyhedra Complete Metric Spaces Compacta Continua Hyperspaces References INVERSE LIMITS AND RELATED TOPICS Inverse Limits Inverse Limits and the Cantor Set Inverse Limits and Other Operations Chainable Continua Circularly Chainable and P-like Continua Universal and A-H Essential Maps References JONES'S SET FUNCTION T The Set Function T Continuity of T Applications References A THEOREM OF E. G. EFFROS Topological Groups Group Actions and a Theorem of Effros References DECOMPOSITION THEOREMS Jones's Theorem Detour to Covering Spaces Rogers's Theorem Case and Minc-Rogers Continua Covering Spaces of Some Homogeneous Continua References n-FOLD HYPERSPACES General Properties Unicoherence Aposyndesis Arcwise Accessibility Points that Arcwise Disconnect C*n-smoothness Retractions Graphs Cones References QUESTIONS Inverse Limits The Set Function T Homogeneous Continua n-fold Hyperspaces References Index