Unstable higher Toda brackets

Hideaki Ooshima; Katsumi Ooshima

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arXiv · 1811.10824

Unstable higher Toda brackets

Hideaki Ooshima·Katsumi Ooshima

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Abstract

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.

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Hideaki Ooshima, Katsumi Ooshima. 2018-11-27. Unstable higher Toda brackets. https://arxiv.org/abs/1811.10824

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