A Note on Orthogonal Multiplication

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 91-93.

A Note on Orthogonal Multiplication

Dept. of Math.,Graduate School,Academia Sinica,Beijing,100039

收稿日期:1996-02-02 出版日期:1996-09-30 发布日期:2024-12-31

A Note on Orthogonal Multiplication

Dept. of Math.,Graduate School,Academia Sinica,Beijing,100039

Received:1996-02-02 Online:1996-09-30 Published:2024-12-31

摘要/Abstract

摘要： Hurewicz-Radon theorem [1] gives a sufficient and necessary condition about the existence of an orthogonal multiplication f:R^k×Rⁿ→Rⁿ. In this paper,we shall discuss two extensions of the theorem.that is,the sufficient and necessary conditions about the existence of an orthogonal multiplication f:R^k×Rⁿ→Rⁿ⁺¹or f:R^k×Rⁿ→Rⁿ⁺²

关键词: , orthogonal multiplication, Hurewicz-Radon theorem, topological K-theory ,

Abstract: Hurewicz-Radon theorem [1] gives a sufficient and necessary condition about the existence of an orthogonal multiplication f:R^k×Rⁿ→Rⁿ. In this paper,we shall discuss two extensions of the theorem.that is,the sufficient and necessary conditions about the existence of an orthogonal multiplication f:R^k×Rⁿ→Rⁿ⁺¹or f:R^k×Rⁿ→Rⁿ⁺²

Key words: , orthogonal multiplication, Hurewicz-Radon theorem, topological K-theory ,

中图分类号:

O189.2

田立根. A Note on Orthogonal Multiplication[J]. 数学季刊, 1996, 11(3): 91-93.

Tian Ligen. A Note on Orthogonal Multiplication[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 91-93.

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A Note on Orthogonal Multiplication

A Note on Orthogonal Multiplication

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