RECONSTRUCTING THE TOPOLOGY OF CLONES

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369237" target="_blank" >RIV/00216208:11320/17:10369237 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1090/tran/6937" target="_blank" >http://dx.doi.org/10.1090/tran/6937</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/tran/6937" target="_blank" >10.1090/tran/6937</a>

Jazyk výsledku

angličtina

Název v původním jazyce

RECONSTRUCTING THE TOPOLOGY OF CLONES

Popis výsledku v původním jazyce

Function clones are sets of functions on a fixed domain that are closed under composition and contain the projections. They carry a natural algebraic structure, provided by the laws of composition which hold in them, as well as a natural topological structure, provided by the topology of pointwise convergence, under which composition of functions becomes continuous. Inspired by recent results indicating the importance of the topological ego of function clones even for originally algebraic problems, we study questions of the following type: In which situations does the algebraic structure of a function clone determine its topological structure? We pay particular attention to function clones which contain an oligomorphic permutation group, and discuss applications of this situation in model theory and theoretical computer science.

Název v anglickém jazyce

RECONSTRUCTING THE TOPOLOGY OF CLONES

Popis výsledku anglicky

Function clones are sets of functions on a fixed domain that are closed under composition and contain the projections. They carry a natural algebraic structure, provided by the laws of composition which hold in them, as well as a natural topological structure, provided by the topology of pointwise convergence, under which composition of functions becomes continuous. Inspired by recent results indicating the importance of the topological ego of function clones even for originally algebraic problems, we study questions of the following type: In which situations does the algebraic structure of a function clone determine its topological structure? We pay particular attention to function clones which contain an oligomorphic permutation group, and discuss applications of this situation in model theory and theoretical computer science.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Transactions of the American Mathematical Society

ISSN

0002-9947

e-ISSN

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Svazek periodika

369

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

34

Strana od-do

3707-3740

Kód UT WoS článku

000398030400023

EID výsledku v databázi Scopus

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