Author | Akbulut, Selman. author |
---|---|
Title | Topology of Real Algebraic Sets [electronic resource] / by Selman Akbulut, Henry King |
Imprint | New York, NY : Springer New York, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9739-7 |
Descript | X, 249 p. online resource |
I. Introduction -- 1. Overview -- 2. Stratified Sets -- 3. Ticos -- 4. Resolution Towers -- II. Algebraic Sets -- 1. Basic Properties of Algebraic Sets -- 2. Singularities of Real and Complex Algebraic Sets -- 3. Projective Algebraic Sets -- 4. Grassmannians -- 5. Blowing Up -- 6. Blowing Down -- 7. Algebraic Homology -- 8. Making Smooth Objects Algebraic -- 9. Homology of Blowups -- 10. Isotoping Submanifolds to Algebraic Subsets -- III. Ticos -- 1. Some Results about Smooth Functions -- 2. Ticos -- 3. Tico Blowups -- 4. Full Ticos -- 5. Type N Tico Maps -- 6. Submersive Tico Maps -- 7. Micos -- IV. Resolution Towers -- 1. Definiton of Resolution Towers -- 2. Blowing up Resolution Towers -- 3. Realizations of Resolution Towers -- V. Algebraic Structures on Resolution Towers -- 1. Making Tico Maps Algebraic -- 2. Nice Charts on Resolution Towers -- 3. Quasialgebraic Towers are Algebraic -- 4. RF Towers are Quasialgebraic -- VI. Resolution Tower Structures on Algebraic Sets -- 1. Uzunblowups and Fullness -- 2. Complex Ticos and Complexifications -- 3. Extending Algebraic Resolution Towers -- 4. Resolution Towers for Algebraic Sets -- VII. The Characterization of Three Dimensional Algebraic Sets -- 1. Obstructions -- 2. The Cobordism Groups -- 3. Characterization in Dimension 3 -- 4. Algebraic Resolution of Real Algebraic Sets in Dimension Three -- 5. Bounding Resolution Towers