Countable Sets in Finitely Supported Mathematics
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2023-02-16 17:23
SM ISO690:2012
ALEXANDRU, Andrei, ANDRIES, Alexandru, CIOBANU, Gabriel. Countable Sets in Finitely Supported Mathematics. In: Conference on Mathematical Foundations of Informatics, Ed. 2016, 25-30 iulie 2016, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2016, pp. 125-143. ISBN 978‐9975‐4237‐4‐8.
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Conference on Mathematical Foundations of Informatics 2016
Conferința "Conference on Mathematical Foundations of Informatics"
2016, Chișinău, Moldova, 25-30 iulie 2016

Countable Sets in Finitely Supported Mathematics


Pag. 125-143

Alexandru Andrei, Andries Alexandru, Ciobanu Gabriel
 
Institute for Computer Science, Romanian Academy, Iasi Branch
 
 
Disponibil în IBN: 30 martie 2018


Rezumat

This paper presents the notion of countable set in a recently developed framework, named Finitely Supported Mathematics. This new framework actually represents a reformulation of Zermelo-Fraenkel mathematics in the world of invariant or finitely supported structures. It was introduced in order to characterize infinite objects by using their finite supports. We prove some algebraic properties of the countable sets, and establish several relationships between countable union theorems and countable choice principles in Finitely Supported Mathematics.

Cuvinte-cheie
countable sets, invariant sets, countable choice principles, countable union theorems,

finitely supported structures