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学术科研

Geometry & Topology Seminar

Homotopy decomposition of A^2_n-complexes

演讲者：朱中坚（温州大学）
时间：2022-10-24 16:20-17:20
地点：腾讯会议 ID 402-5413-1062

Abstract

An (n-1)-connected finite CW-complex of dimension ≤n+k is called an A^k_n-complex. The homotopy types of indecomposable (up to wedge product) A^2_n-complexes, classified by Prof. Zhang Sucheng in 1950, consist of spheres, Elementary Moore spaces and Elementary Chang complexes. These are elementary homotopy types in homotopy theory. In this talk, I introduce some homotopy of A^2_n-complexes, especially the homotopy decomposition problems of them. These are joint works with Prof. Pan Jianzhong.