Introduction to the h-Principle /
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| Author / Creator: | Eliashberg, Y., 1946- |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2002. |
| Description: | xvii, 206 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | Graduate studies in mathematics, 1065-7339 ; v. 48 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4721100 |
Table of Contents:
- Intrigue Holonomic approximation: Jets and holonomy
- Thom transversality theorem Holonomic approximation
- Applications Differential relations and Gromov's $h$-principle: Differential relations
- Homotopy principle Open Diff $V$-invariant differential relations
- Applications to closed manifolds
- The homotopy principle in symplectic geometry: Symplectic and contact basics
- Symplectic and contact structures on open manifolds
- Symplectic and contact structures on closed manifolds
- Embeddings into symplectic and contact manifolds
- Microflexibility and holonomic $\mathcal{{R}}$-approximation
- First applications of microflexibility
- Microflexible $\mathfrak{{U}}$-invariant differential relations
- Further applications to symplectic geometry
- Convex integration: One-dimensional convex integration
- Homotopy principle for ample differential relations
- Directed immersions and embeddings
- First order linear differential operators Nash-Kuiper theorem
- Bibliography
- Index
