3 papers
math.GN2024
Lipschitz vector spaces
Tullio Valent
The initial part of this paper is devoted to the notion of pseudo-seminorm on a vector space . We prove that the topology of every topological vector space is defined by a famil…
math.GN2024
Weak Lipschitz structures and their connections with the topological structures
Tullio Valent
Two approaches to Lipschitz structures for any set are presented, studied and compared. The first approach is similar to the one proposed in Fraser, Jr. R. B., Axiom systems for Li…
math.GM2024
Real structures. An introduction to a general approach
Tullio Valent
In this paper we attempt to present a very general approach to the study of structures (somehow) defined on a set by a family of maps . It w…