| 摘要: |
| 在文献[1](Proc Amer.Math.Soc.1983,88:333~337)中我们证明了每一个可折叠多面体均可内射度量化。借助于这一结果,本文证明了每一个可缩多面体均是个绝对收缩核。 |
| 关键词: 多面体 可缩空间 绝对收缩核 锥形 ‘可折叠复形’ 内射度量空间 |
| DOI： |
| 投稿时间：1993-09-25 |
| 基金项目: |
|
| Every Contractible Polyhedron IS an Absolute Retract |
|
Mai Jiehua
|
| (Institute of Mathematics, Guangxi University, Xixiangtang Road, Nanning, Guangxi, 530004) |
| Abstract: |
| In reference[1](Proc Amer.Math.Soc.1983,88:333~337) we proved that every collapsible polyhedron is injectively metrizable.Using this result we prove in this paper that every contractible polyhedron is an absolute retract. |
| Key words: polyhedron contractible space absolute retract cone collapsible complex injectivemetric space |
