| 词条 | Erdős space |
| 释义 |
In mathematics, Erdős space is a topological space named after Paul Erdős. Erdős space is defined as the set E of points in the Hilbert space ℓ2 of square summable sequences having all coordinates rational. Erdős space is a totally disconnected, one-dimensional topological space. The space E is homeomorphic to the direct product E×E. Endowed with the compact-open topology, the set of all homeomorphisms of the Euclidean space Rn leaving the set Qn of vectors with rational coordinates invariant is homeomorphic to the Erdős space for n ≥ 2.[1] References1. ^Jan J. Dijkstra, Jan van Mill. Erdős Space and Homeomorphism Groups of Manifolds. Memoirs of the American Mathematical Society, Number 979. {{topology-stub}}{{DEFAULTSORT:Erdos space}} 1 : Topological spaces |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。