论文标题
大地直径的先验界限。第一部分I
A priori bounds for geodesic diameter. Part I. Integral chains with coefficients in a complete normed commutative group
论文作者
论文摘要
作为对社区的服务，我们为欧几里得空间提供了对本地可预设链和本地积分链的基本处理。在这种情况下，我们可能会有益地开发出一个完整规范的换向群体捆绑的概念，该束在Grassmann歧管上，其纤维是链的系数组。我们的博览会还为理论的某些代数方面提供了新的启示。最后，我们指出了一种延伸到几何方法，以局部平坦的链条以局部可整流的链条而不是完成程序为中心。
As service to the community, we provide - for Euclidean space - a basic treatment of locally rectifiable chains and of the complex of locally integral chains. In this setting, we may beneficially develop the idea of a complete normed commutative group bundle over the Grassmann manifold whose fibre is the coefficient group of the chains. Our exposition also sheds new light on some algebraic aspects of the theory. Finally, we indicate an extension to a geometric approach to locally flat chains centring on locally rectifiable chains rather than completion procedures.
