Embedding Coverings into Bundles with Applications.
- 1st ed.
- 1 online resource (60 pages)
- Memoirs of the American Mathematical Society ; v.38 .
- Memoirs of the American Mathematical Society .
Intro -- TABLE OF CONTENTS -- INTRODUCTION -- PART I. EMBEDDING FINITE COVERS INTO BUNDLES -- 1. Removing singularities of maps -- 2. Singularities of maps into bundles -- 3. Embedding covering spaces into bundles -- 4. The obstruction -- PART II. EMBEDDING MANIFOLD-LIKE CONTINUA UP TO SHAPE -- 5. Applications of Part I to embedding continua up to shape -- 6. An n-manifold-like compactum which does not embed up to shape in R[sup(2n)] -- 7. Singularities of coverings of immersions -- 8. Embedding up to shape manifold-like continua whose factors need not embed -- 9. Embedding double coverings -- 10. An example -- 11. n-manifold-like continua which do not embed up to shape in R[sup(2n)] -- REFERENCES.
9781470406707
Manifolds (Mathematics). Topological imbeddings. Vector bundles. Shape theory (Topology).