论文标题

球形的扁平空间

Spaces of flattenings of spheres

论文作者

Abawonse, Olakunle S

论文摘要

简单球体的扁平空间在朴素领域的存在和可区分结构的独特性中起着关键作用。在本文中,我们将确定某些简单球的扁平空间,并表明它们具有正交组的同型类型。

The spaces of flattenings of a simplicial sphere played a key role in the study of existence and uniqueness of differentiable structures on a simplicial sphere. In this paper, we will establish that the spaces of flattenings of some simplicial spheres and show that they have the homotopy type of the orthogonal group.

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