A note on separated factors of separated polynomials

NETS AND SEPARATED S-POSETS

Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$-net. Using $S$-nets and itsconvergency we...

Separated finitely supported $Cb$-sets

The monoid $Cb$ of name substitutions and the notion of finitely supported $Cb$-sets introduced by Pitts as a generalization of nominal sets. A simple finitely supported $Cb$-set is a one point extension of a cyclic nominal set. The support map of a simple finitely supported $Cb$-set is an injective map. Also, for every two distinct elements of a simple finitely supported $Cb$-set, there exists...

Variables Separated Polynomials, the Genus 0 Problem and Moduli Spaces

The monodromy method—featuring braid group action—first appeared as a moduli space approach for finding solutions of arithmetic problems that produce reducible variables separated curves. Examples in this paper illustrate its most interesting aspect: investigating the moduli space of exceptions to a specific diophantine outcome. Explicit versions of Hilbert’s irreducibility theorem and Davenpor...

Variables Separated Polynomials , the Genus 0 Problem and Moduli

The monodromy method|featuring braid group action||rst appeared as a moduli space approach for nding solutions of arithmetic problems that produce reducible variables separated curves. Examples in this paper illustrate its most interesting aspect: investigating the moduli space of exceptions to a speciic diophantine outcome. Explicit versions of Hilbert's irreducibility theorem and Davenport's ...

A Non { Separated