A Geometric Solution to the Jacobian Problem
In this article given a geometric solution to the well-known Jacobian problem. The twodimensionalpolynomial Keller map is considered in four-dimensional Euclidean space R4. Used the conceptof parallel. A well-known example of Vitushkin is also considered. Earlier it was known that Vitushkin’s maphas...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2018-08-01
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| Series: | Journal of New Theory |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/540484 |
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| Summary: | In this article given a geometric solution to the well-known Jacobian problem. The twodimensionalpolynomial Keller map is considered in four-dimensional Euclidean space R4. Used the conceptof parallel. A well-known example of Vitushkin is also considered. Earlier it was known that Vitushkin’s maphas a nonzero constant Jacobian and it is not injective. We will show that the Vitushkin map is not surjectiveand moreover it has two inverse maps in the domain of its definition |
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| ISSN: | 2149-1402 |