Some properties of two-dimensional surjective  p -homogeneous maps

D. Yu. Karamzin; A. V. Arutyunov; S. E. Zhukovskiy

doi:10.1134/S096554251707003X

Some properties of two-dimensional surjective p-homogeneous maps

作者: Karamzin D.Y.¹^,2, Arutyunov A.V.¹^,3, Zhukovskiy S.E.¹
隶属关系:
1. RUDN University
2. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
3. Faculty of Computational Mathematics and Cybernetics
期: 卷 57, 编号 7 (2017)
页面: 1081-1089
栏目: Article
URL: https://journal-vniispk.ru/0965-5425/article/view/179255
DOI: https://doi.org/10.1134/S096554251707003X
ID: 179255

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详细

The properties of real p-homogeneous polynomial maps in R² are examined. The relation between surjectivity and the existence of a nontrivial zero is investigated. Additionally, the relation between surjectivity and stable surjectivity is studied. Examples are discussed.