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The number of compact subsets of a topological space

โœ Scribed by Burke, D. K.; Hodel, R. E.


Book ID
124086981
Publisher
American Mathematical Society
Year
1976
Tongue
English
Weight
685 KB
Volume
58
Category
Article
ISSN
0002-9939

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๐Ÿ“œ SIMILAR VOLUMES


The space of compact subsets ofEd
โœ Peter M. Gruber ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Springer ๐ŸŒ English โš– 160 KB

Let Yd" be the space of compact subsets of E a, endowed with the Hausdorffmetric. It is shown that the isometries of ~ onto itself are the mappings generated by rigid motions of E a.

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โœ V. Jeyanthi; V. Renuka Devi; D. Sivaraj ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Akadmiai Kiad ๐ŸŒ English โš– 223 KB
Weight of closed subsets topologically g
โœ Dikran Dikranjan; Dmitri Shakhmatov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 258 KB

## Abstract Let __G__ be a compact Hausdorff group. A subspace __X__ of __G topologically generates G__ if __G__ is the smallest closed subgroup of __G__ containing __X__. Define __tgw__ (__G__) = __ฯ‰__ ยท min{__w__ (__X__): __X__ is closed in __G__ and topologically generates __G__ }, where __w__