| Title:
|
On a characterization of the unit interval in terms of clones (English) |
| Author:
|
Barkhudaryan, Artur |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
153-164 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained. (English) |
| Keyword:
|
clones of topological spaces |
| Keyword:
|
algebraic theories |
| Keyword:
|
unit interval |
| MSC:
|
03C65 |
| MSC:
|
54C05 |
| MSC:
|
54F65 |
| idZBL:
|
Zbl 1060.54512 |
| idMR:
|
MR1715208 |
| . |
| Date available:
|
2009-01-08T18:50:28Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119069 |
| . |
| 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:
|
[9] Sichler J., Trnková V.: On elementary equivalence and isomorphism of clone segments.Period. Math. Hungar. 32 (1996), 113-128. MR 1407914 |
| Reference:
|
[10] Taylor W.: The Clone of a Topological Space.Res. Exp. Math. 13 Heldermann Verlag (1986). Zbl 0615.54013, MR 0879120 |
| Reference:
|
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| . |
