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Hideaki Ooshima

Publications and source records attributed to Hideaki Ooshima.

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Unstable higher Toda brackets II

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.

math.AT

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.

math.AT