关于Fox空间和雅可比恒等式
On Fox spaces and Jacobi identities
摘要：
1945年，R.福克斯介绍了所谓的福克斯环面同伦群，其中通常的同伦群是嵌入和他们的Whitehead产品表示为reflector。本文给出并研究了Fox环面同伦群及其推广的现代处理方法。在本文中，我们将进一步探讨这些基团及其性质。本文讨论了Fox空间上的余乘和广义Whitehead积与$Γ$ -Whitehead积的雅可比恒等式.
英文摘要：
In 1945, R. Fox introduced the so-called Fox torus homotopy groups in which the usual homotopy groups are embedded and their Whitehead products are expressed as commutators. A modern treatment of Fox torus homotopy groups and their generalization has been given and studied. In this note, we further explore these groups and their properties. We discuss co-multiplications on Fox spaces and a Jacobi identity for the generalized Whitehead products and the $Γ$-Whitehead products.
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