| Title:
|
Rigid extensions of $\ell$-groups of continuous functions (English) |
| Author:
|
Knox, Michelle L. |
| Author:
|
McGovern, Warren Wm. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
993-1014 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $C(X,\mathbb Z )$, $C(X,\mathbb Q )$ and $C(X)$ denote the $\ell $-groups of integer-valued, rational-valued and real-valued continuous functions on a topological space $X$, respectively. Characterizations are given for the extensions $C(X,\mathbb Z )\leq C(X,\mathbb Q )\leq C(X)$ to be rigid, major, and dense. (English) |
| Keyword:
|
rigid extension |
| Keyword:
|
major extension |
| Keyword:
|
archimedean extension |
| Keyword:
|
dense extension |
| MSC:
|
06F20 |
| MSC:
|
54C40 |
| MSC:
|
54F65 |
| idZBL:
|
Zbl 1174.06341 |
| idMR:
|
MR2471161 |
| . |
| Date available:
|
2010-07-21T08:07:43Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140435 |
| . |
| 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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| 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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| . |
