On Fox Spaces and Jacobi Identities
نویسنده
چکیده
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 Jacobi identities for the generalized Whitehead products and the Γ-Whitehead products.
منابع مشابه
Some Properties of Fox Torus Homotopy Groups
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 were given by the authors in an earlier work. In this note, we further explore these groups and their properties. We discuss co-multiplications on Fox...
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