Baire category and the exterior of convex sets
Patrick J Rabier
TL;DR
This paper discusses the application of Baire category theory to the exterior of convex sets, providing an elementary proof of a key result that enhances understanding in convex analysis.
Contribution
It offers a simplified, elementary proof of a significant theorem related to the exterior of convex sets, improving accessibility and comprehension.
Findings
Elementary proof of a key Baire category result
Enhanced understanding of convex set exterior properties
Incorporation into existing mathematical literature
Abstract
The main result can be given a short and elementary proof which has been incorporated into Lemma 3.2 of arXiv:1206.5775
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Topology and Set Theory