๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A universal Polish G-space

โœ Scribed by Greg Hjorth

Book ID
104295334
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
587 KB
Volume
91
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

โœฆ Synopsis

If G is a Polish group, then the category of Polish G-spaces and continuous G-mappings has a universal object.

๐Ÿ“œ SIMILAR VOLUMES

Space medicine: a Polish speciality
Space medicine: a Polish speciality
โœ Rich, Vera ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 151 KB
A universal properG-space
A universal properG-space
โœ Herbert Abels ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Springer-Verlag ๐ŸŒ French โš– 856 KB
Topological and Borel compactifications
Topological and Borel compactifications of Polish G-spaces
โœ Tzvi Scarr ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

We investigate the relationships between topological and Borel G-spaces, where G is a Polish group. We show that every Polish G-space can be topologically and equivariantly embedded into a compact Polish G-space iff G is locally compact. This answers a question of Kechris. It also provides a strikin

Polish university compromise
Polish university compromise
โœ Rich, Vera ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 138 KB
On a universal ultrametric space
On a universal ultrametric space
โœ Alex J. Lemin; Vladimir A. Lemin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 75 KB

For every cardinal ฯ„ we construct a universal ultrametric space LW ฯ„ such that any ultrametric space of weight ฯ„ can be embedded isometrically in LW ฯ„ . The weight of LW ฯ„ is ฯ„ โ„ต 0 and we show that for all cardinals ฯ„ c and for a wide class of cardinals > c the weight of a universal ultrametric spac