本刊英文版Vol.20(2004),No.1论文摘要(英文)

<正> Non-Zero Degree Maps Between 2n-ManifoldsHai Bao DUAN Shi Cheng WANGAbstract Thom-Pontrjagin constructions are used to give a computable necessary andsufficient condition for a homomorphism φ : Hn(L;Z) → Hn(M;Z) to be realized by a map f : M → L of degree k for closed (n - 1)-connected 2n-manifolds M and L, n > 1. A corollary is that each (n - l)-connected 2n-manifold admits selfmaps of degree larger than 1, n > 1.In the most interesting case of dimension 4, with the additional surgery arguments we give

Abstracts of Acta Mathematica Sinica English Series, Vol.20(2004),No.1