Includes bibliographical references (pages 215-226) and index.
1. Stratified Spaces and Functional Structures -- 2. Differential Geometric Objects on Singular Spaces -- 3. Control Theory -- 4. Orbit Spaces -- 5. DeRahm-Cohomology -- 6. Homology of Algebras of Smooth Functions -- A. Supplements from linear algebra and functional analysis -- B. Kahler differentials -- C. Jets, Whitney functions and a few [actual symbol not reproducible]-mappings.