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Estimation of the order of a group generated by a twisted subset

✍ Scribed by V. V. Belyaev; A. L. Myl’nikov

Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
101 KB
Volume
49
Category
Article
ISSN
0037-4466

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Weight of closed subsets topologically g
Weight of closed subsets topologically generating a compact group
✍ Dikran Dikranjan; Dmitri Shakhmatov 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 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__) = __ω__ · min{__w__ (__X__): __X__ is closed in __G__ and topologically generates __G__ }, where __w__