期刊论文详细信息
Commentationes mathematicae Universitatis Carolinae | |
Functor of extension of $\Lambda$-isometric maps between central subsets of the unbounded Urysohn universal space | |
Piotr Niemiec1  | |
关键词: Urysohn's universal space; ultrahomogeneous spaces; functor; extensions of isometries; | |
DOI : | |
学科分类:物理化学和理论化学 | |
来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics | |
【 摘 要 】
The aim of the paper is to prove that in the unbounded Urysohn universal space $\mathbb U$ there is a functor of extension of $\Lambda $-isometric maps (i.e.\ dilations) between central subsets of $\mathbb U$ to $\Lambda $-isometric maps acting on the whole space. Special properties of the functor are established. It is also shown that the multiplicative group $\mathbb R \setminus \{0\}$ acts continuously on $\mathbb U$ by $\Lambda $-isometries.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904034863613ZK.pdf | 83KB | download |