Finitely dominated compacta need not have finite type -- Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass -- Splitting homotopy idempotents -- Approximate fibrations-a geometric perspective -- Local n-connectivity of quotient spaces and one-point compactifications -- A simple-homotopy approach to the finiteness obstruction -- Generalized three-manifolds -- Some properties of deformation dimension -- Dimension, cohomological dimension, and cell-like mappings -- Embedding compacta up to shape -- On shape concordances -- Complement theorems in shape theory -- Embeddings in shape theory -- Under what conditions are shape homology and steenrod homology isomorphic ? -- Strong shape theory -- Inverse limits and resolutions -- Application of the shape theory in the characterization of exact homology theories and the strong shape homotopic theory