A COUNTEREXAMPLE TO THE RECONSTRUCTION OF omega-CATEGORICAL STRUCTURES FROM THEIR ENDOMORPHISM MONOID
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383769" target="_blank" >RIV/00216208:11320/18:10383769 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11856-018-1645-9" target="_blank" >https://doi.org/10.1007/s11856-018-1645-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-018-1645-9" target="_blank" >10.1007/s11856-018-1645-9</a>
Alternative languages
Result language
angličtina
Original language name
A COUNTEREXAMPLE TO THE RECONSTRUCTION OF omega-CATEGORICAL STRUCTURES FROM THEIR ENDOMORPHISM MONOID
Original language description
We present an example of two countable omega-categorical structures, one of which has a finite relational language, whose endomorphism monoids are isomorphic as abstract monoids, but not as topological monoids-in other words, no isomorphism between these monoids is a homeomorphism. For the same two structures, the automorphism groups and polymorphism clones are isomorphic, but not topologically isomorphic. In particular, there exists a countable omega-categorical structure in a finite relational language which can neither be reconstructed up to first-order biinterpretations from its automorphism group, nor up to existential positive bi-interpretations from its endomorphism monoid, nor up to primitive positive bi-interpretations from its polymorphism clone.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Israel Journal of Mathematics
ISSN
0021-2172
e-ISSN
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Volume of the periodical
224
Issue of the periodical within the volume
1
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
26
Pages from-to
57-82
UT code for WoS article
000431796000003
EID of the result in the Scopus database
2-s2.0-85044219459