CONTENTS 1. Introduction........................................................................................................ 5 2. Preliminaries. Special kinds of continua............................................................. 6 3. Classes of mappings.............................................................................................. 12 4. Generated classes of mappings.......................................................................... 15 5. General properties of mappings........................................................................... 29 6. Mappings on some special spaces..................................................................... 50 7. Images of unicoherent continua............................................................................ 58 9. Images of hereditarily decomposable continua................................................. 77 References.................................................................................................................... 88
CONTENTS Introduction......................................................................................5 1. General notion of aposyndesis....................................................6 2. Relation T for special families......................................................8 3. Properties of T.............................................................................9 4. T-aposyndesis in homogeneous continua..................................11 5. Colocal connectedness and T-aposyndesis...............................13 6. Decompositions and terminal continua......................................15 7. Decompositions of homogeneous continua...............................18 8. Indecomposable continua and colocal connectedness..............20 9. Closed domains in homogeneous continua...............................22 10. Irreducible continua.................................................................23 11. Decompositions onto locally connected continua.....................25 12. Locally connected homogeneous continua..............................29 13. Atriodic homogeneous continua..............................................30 14. Arcs and pseudoarcs in homogeneous continua.....................33 15. Homogeneous continua in compact 2-manifolds......................37 16. Multicoherence and homogeneity............................................41 17. Types of aposyndesis..............................................................42 18. More about decompositions.....................................................44 19. Mappings from hereditarily indecomposable continua.............46 20. Common model........................................................................48 21. Final remarks...........................................................................52 References....................................................................................54