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Biseparating Maps and Homeomorphic Real-Compactifications

✍ 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

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πŸ“œ SIMILAR VOLUMES


Partial properness and real planar maps
✍ L.A. Campbell πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 428 KB

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

Diffeomorphic real-analytic maps and the
✍ M. Chamberland πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 390 KB

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