Shape theory is an extension of homotopy theory from the realm of CWcomplexesto arbitrary spaces. Besides applications in topology it has interestingapplication... » 

Shape theory is an extension of homotopy theory from the realm of CWcomplexesto arbitrary spaces. Besides applications in topology it has interestingapplications in various other areas of mathematics especially in dynamicalsystems and Calgebras. Strong shape is a refinement of ordinary shape withdistinct advantages over the latter. Strong homology generalizes Steenrodhomology and is an invariant of strong shape. The book gives a detailed accountbased on approximation of spaces by polyhedra ANRs using the technique ofinverse systems. It is intended for researchers and graduate students. Specialcare is devoted to motivation and bibliographic notes. «