In the present paper,we describe a condition under which the band sum of two handle-bodies has incompressible boundary.As an applicaton,we show that the representation of a homo-topy 3-sphere can be reduced in some si...In the present paper,we describe a condition under which the band sum of two handle-bodies has incompressible boundary.As an applicaton,we show that the representation of a homo-topy 3-sphere can be reduced in some situation.展开更多
文摘In the present paper,we describe a condition under which the band sum of two handle-bodies has incompressible boundary.As an applicaton,we show that the representation of a homo-topy 3-sphere can be reduced in some situation.