Unstable higher Toda brackets
Algebraic Topology
2018-11-28 v1
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.
Cite
@article{arxiv.1811.10824,
title = {Unstable higher Toda brackets},
author = {Hideaki Ooshima and Katsumi Ooshima},
journal= {arXiv preprint arXiv:1811.10824},
year = {2018}
}
Comments
The paper shall appear in Math. J. Okayama Univ. 62 (2020)