The aim of this paper is to build a new family of lattices related to some combinatorial extremal sum problems, in particular to a conjecture of Manickam, Miklös and Singhi. We study the fundamentals… (More)

In the space H of quaternions, we investigate a natural, invariant geometry of the open, unit disc ∆H and of the open half-space H . These two domains are diffeomorphic via a Cayley-type… (More)

In this paper we introduce the notion of core for two specific classes of boolean maps on finite involution posets (which are a generalization of the boolean lattices) and we prove some extension… (More)

Two proper polynomial maps f1, f2 : C 2 −→ C are said to be equivalent if there exist Φ1, Φ2 ∈ Aut(C) such that f2 = Φ2 ◦ f1 ◦ Φ1. We investigate proper polynomial maps of topological degree d ≥ 2 up… (More)

We investigate the dynamical behaviour of a holomorphic map f : U → C , where U is an open polynomially convex subset of C, on an f−invariant subset E of U. We also prove a Birkhoff type Theorem for… (More)