The Stone–Čech Compactification of Groupoids
Let G be a discrete groupoid. Consider the Stone–Čech compactification βG of G. We extend the operation on the set of composable elements G (²) of G to the operation * on a subset (βG)(²) of βG×βG such that the triple (βG, (βG)(²), *) is a compact right topological semigroupoid.
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| Date: | 2015 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165514 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Stone–Čech Compactification of Groupoids / F. Behrouzi // Український математичний журнал. — 2015. — Т. 67, № 4. — С. 456–466. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Let G be a discrete groupoid. Consider the Stone–Čech compactification βG of G. We extend the operation on the set of composable elements G (²) of G to the operation * on a subset (βG)(²) of βG×βG such that the triple (βG, (βG)(²), *) is a compact right topological semigroupoid. |
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