【摘要】 本文我们描述了使两个柄体带和有不可压缩边界的一个条件，作为应用，我们证明了同伦３－球面的一个表示在某种情形可以被简化．更多还原

【Abstract】 In the present paper,we describe a condition under which the band sum of two handlebodies has incompressible boundary. As an applicaton,we show that the representation of a homo- topy 3-sphere can be reduced in some situation.更多还原