4-流形中的稳定化、边数和嵌入球
Stabilisation, bordism and embedded spheres in 4--manifolds
摘要：
四维拓扑中的一个重要事实是，四维流形的球面同调类并不是都能用嵌入球面表示。1978年，M. Freedman和R.柯比表明，在简单连接的情况下，许多障碍，以建设这样一个领域消失，如果一个修改周围的4流形增加产品的2球，一个过程，这通常被称为稳定。本文将这一结果推广到非单连通4-流形，并说明它与Eilenberg-MacLane空间的Spin^c-边群的关系。
英文摘要：
It is one of the most important facts in 4-dimensional topology that not every spherical homology class of a 4-manifold can be represented by an embedded sphere. In 1978, M. Freedman and R. Kirby showed that in the simply connected case, many of the obstructions to constructing such a sphere vanish if one modifies the ambient 4-manifold by adding products of 2-spheres, a process which is usually called stabilisation. In this paper, we extend this result to non-simply connected 4-manifolds and show how it is related to the Spin^c-bordism groups of Eilenberg-MacLane spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
