A system of unstable higher Toda brackets
We show that a system of unstable higher Toda brackets can be defined inductively.
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Publications and source records attributed to Hideaki Ooshima.
We show that a system of unstable higher Toda brackets can be defined inductively.
We define subscripted unstable higher Toda brackets and study their elementary properties. This paper is the continuation of our previous paper in which we defined the non-subscripted unstable higher Toda brackets.
We define two new unstable n-fold Toda brackets for every composable sequence (f_n, ... ,f_1) of pointed maps f_i : X_i \to X_{i+1} between well-pointed spaces with n > 2. The brackets agree with the classical Toda bracket when n = 3, and they are subsets of both the unstable n-fold Toda brackets of Gershenson and Cohen for every n > 2.