Two Characterizations of Diffeomorphisms of Euclidean Space
β Scribed by Li Jun Yang; Xian Wu Zeng
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2003
- Tongue
- English
- Weight
- 181 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1439-7617
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## Abstract We present some characterizations of the members of Ξ^ta^~2~, that class of the topological arithmetical hierarchy which is just large enough to include several fundamental types of sets of points in Euclidean spaces β^__k__^. The limit characterization serves as a basic tool in further
Let ( , , J 1 ) and ( , , J 2 ) denote two Hermitian structures on a 2n-dimensional Euclidean space (V , , ). If n is even and J 1 ,J 2 have opposite orientations, then there exist non-zero vectors v, w β V such that J 1 (v) = J 2 (v) and J 1 (w) = -J 2 (w). If n is odd and J 1 , J 2 have the same o