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On the Gale-NikaidÔ-Inada fundamental theorem on univalence of mappings

✍ Scribed by V. A. Aleksandrov


Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
184 KB
Volume
35
Category
Article
ISSN
0037-4466

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We show that Hua's fundamental theorem of the geometry of rectangular matrices can be proved without the bijectivity assumption when the underlying field is the field of real numbers. We also give a counterexample showing that this generalization is not possible in the complex case.  2002 Elsevier