Examples and Counterexamples in Mathematical Sciences

Dear Colleagues,

The existence and non-existence of mathematical objects has long been one of the motivating pillars of the discovery and creation of mathematical theories by mathematicians. Some notable examples include Polya’s conjecture in number theory in 1919, von Neumann’s conjecture in algebra in 1929, and the Ibragimov–Iosifescu conjecture in probability theory in 1974. The purpose of this Special Issue is to provide Mathematics readers with a collection of high-quality manuscripts on all theoretical and applied mathematical disciplines with a focus on presenting novel examples and counterexamples. Manuscripts should be prepared in a concise format with a maximum of seven pages presenting the background, main statement, (counter)examples, and the discussion. Recent mathematical developments and discussions in the proof, conditional proof, and disproof of a mathematical conjecture accompanied with (counter)examples are appreciated. Novel mathematical objects with exemplary applications in other scientific branches are also appreciated. Topics of interest include, but are not limited to, the following: constructive mathematics; constructive logic; constructive analysis; constructive non-standard analysis; constructive proof; counterexamples.

Dr. Mohsen Soltanifar
Prof. Dr. Antonio Di Crescenzo
Guest Editors

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