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Partial properness and real planar maps

โœ Scribed by L.A. Campbell

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
428 KB
Volume
9
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 known counterexamples to univalence conjectures (for Samuelson maps and polynomial maps) are used to illustrate the results.

๐Ÿ“œ SIMILAR VOLUMES

Proper and piecewise proper families of
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โœ Victoria Gitman ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 136 KB

## Abstract I introduced the notions of proper and piecewise proper families of reals to make progress on a long standing open question in the field of models of Peano Arithmetic [5]. A family of reals is __proper__ if it is arithmetically closed and its quotient Boolean algebra modulo the ideal of