Articles written in Proceedings – Mathematical Sciences

• A note on the growth of topological Sidon sets

We give an estimate for the number of elements in the intersection of topological Sidon sets inRn with compact convex subsets and deduce a necessary and sufficient conditions for an orbit of a linear transformation ofRn to be a topological Sidon set.

• Some remarks on good sets

It is shown that (1) if a good set has finitely many related components, then they are full, (2) loops correspond one-to-one to extreme points of a convex set. Some other properties of good sets are discussed.

• Some Further Remarks on Good Sets

We show that in 𝑛-fold cartesian product, $n\geq 4$, a related component need not be a full component. We also prove that when $n\geq 4$, uniform boundedness of lengths of geodesics is not a necessary condition for boundedness of solutions of (1) for bounded function 𝑓.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019