long exact homology sequence

This paper intends to make us understand topological structures deeply,and it takes advantage of exact homology sequence and Morse inequalities to estimate the upper bound of the rank of q-dimensional singular homology group of energy level surface(q is an arbitrary nature number).

为了加深对等能曲面的拓扑结构的了解,利用正合同调序列及Morse不等式的方法估计了等能曲面一般维数奇异同调群的秩的上界。