Algebra in the Stone-Čech compactification: applications to topologies on groups
For every discrete group G, the Stone-Čech compactification βG of G has a natural structure of compact right topological semigroup. Assume that G is endowed with some left invariant topology I and let τ¯ be the set of all ultrafilters on G converging to the unit of G in I. Then τ¯ is a closed subsem...
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153384 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Algebra in the Stone-Čech compactification: applications to topologies on groups / I.V. Protasov // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 83–110. — Бібліогр.: 62 назв. — англ. |