TL;DR
This paper proves the existence of infinite dense free sets in the real numbers for certain set mappings, expanding understanding of free sets in topology and set theory.
Contribution
It establishes the existence of dense free sets under reasonable assumptions, a novel result in the context of set mappings on the reals.
Findings
Existence of infinite dense free sets proven
Applicable under reasonable assumptions
Advances in set theory and topology
Abstract
We prove the existence of infinite dense free sets (in the usual topology) for set mappings on the reals, under reasonable assumptions.
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