Abstract For a subset A of the real line R , the Hattori space H ( A ) is a topological space whose underlying point set is the real R and whose topology is defined as follows: points from A possess the usual Euclidean neighbourhoods while remaining points are given the neighbourhoods of the Sorgenfrey line. We consider the linear homeomorphisms between the spaces C p ( H ( A ) ) , C p ( H ( B ) ) and C p ( S ) , where H ( A ) and H ( B ) are Hattori spaces and S is Sorgenfrey line.

中文翻译：

---

关于Hattori空间上连续函数空间的线性同胚

摘要 对于实线 R 的子集 A，Hattori 空间 H ( A ) 是一个拓扑空间，其基础点集为实 R，其拓扑定义如下：来自 A 的点具有通常的欧几里德邻域，而其余点为鉴于 Sorgenfrey 线的邻域。我们考虑空间C p ( H ( A ) ) 、C p ( H ( B ) ) 和C p ( S ) 之间的线性同胚，其中H ( A ) 和H ( B ) 是Hattori 空间，S 是Sorgenfrey 线.