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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • 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

  • 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