The Topological Classification of Stratified Spaces

IntroductionPart I: Manifold theory1. Algebraic K-theory and topology2. Surgery theory3. Spacification and functoriality4. ApplicationsPart II: General theory5. Definitions and examples6. Classification of stratified spaces7. Transverse stratified classification8. PT category9. Controlled topology10. Proof of main theorems in topologyPart III: Applications and illustrations11. Manifolds and embedding theory revisited12. Supernormal spaces and varieties13. Group actions14. Rigidity conjecturesBibliographyIndex

Zusammenfassung

This text provides topologists with a new way of looking at the classification theory of singular spaces. Divided into three parts, the book begins with an overview of high-dimensional manifold theory. It then offers the parallel theory for stratified spaces. Applications are also included.

Produktdetails

• Autoren: Shmuel Weinberger, Weinberger Shmuel
• Verlag: University Presses
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 15.01.1995
• EAN: 9780226885674
• ISBN: 978-0-226-88567-4
• Seiten: 298
• Abmessung: 15 mm x 23 mm x 2 mm
• Gewicht: 454 g
• Serien: Chicago Lectures in Physics (P; Chicago Lectures in Mathematics; Chicago Lectures in Mathematics Series CLM (CHUP); Chicago Lectures in Mathematics Series CLM
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie; MATHEMATICS / Geometry / General, MATHEMATICS / Topology, geometry, Topology