| Title:
|
Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem (English) |
| Author:
|
Ball, Richard N. |
| Author:
|
Hagler, James N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
319-342 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid. (English) |
| Keyword:
|
flow |
| Keyword:
|
Stone-Čech compactification |
| Keyword:
|
Hindman’s theorem |
| MSC:
|
11B75 |
| MSC:
|
37B05 |
| MSC:
|
37B20 |
| MSC:
|
54C60 |
| MSC:
|
54H20 |
| idZBL:
|
Zbl 1026.54043 |
| idMR:
|
MR1983455 |
| . |
| Date available:
|
2009-09-24T11:02:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127803 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] R. N. Ball and J. N. Hagler: Real valued functions on flows.In preparation. |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
