A combinatorial approach to the exponents of Moore spaces

作者：Cohen Frederick R; Mikhailov Roman; Wu Jie^*

来源：Mathematische Zeitschrift, 2018, 290(1-2): 289-305.

DOI：10.1007/s00209-017-2018-5

In this article, we give a combinatorial approach to the exponents of Moore spaces. Our result states that the projection of the p(r+1)-power map of the loop space of the (2n + 1)-dimensional mod p(r) Moore space to its atomic piece containing the bottom cell T2n+1 {p(r)} is null homotopic for n > 1, p > 3 and r > 1. This result strengthens the classical result that Omega T2n+1 {p(r)} has an exponent p(r+1).

• 出版日期2018-10