Biseparating Maps and Homeomorphic Real-Compactifications
β Scribed by J. Araujo; E. Beckenstein; L. Narici
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 360 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
If a local homeomorphism of the real plane, h = (f, g) : R 2 --, R 2, is not one-toone, then both f and g have fibers with connected components whose images under h are disjoint. Global homeomorphisms h are characterized in terms of properness along fibers of, and simplicity of, component maps. Two
It is shown that if the real-analytic map f(x) : Ill2 + BP2 has a Jacobian matrix whose eigenvaluee are always both one, then the map ls a diffeemorphism. An explicit form of the inverse ls given. The proof relies on a result which says that the only global solutions to the quasi-linear partial diff