Add to ORKGAbstract. The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval onto the unit square. From this fact one can easily construct of a continuous surjection from the real line R to any Euclidean space Rn. The algebraic structure of the set of these functions (as well as extensions to spaces with higher dimensions) is analyzed from the modern point of view of lineability, and large algebras are found within the families studied. We also investigate topological vector spaces that are continuous image of the real line, providing an optimal lineability result
It follows from the Baire theorem that comeagre sets in complete metric spaces are "topologically la...
Abstract. We construct Peano curves γ: r0,8q Ñ R2 whose “footprints” γpr0, tsq, t ą 0, have C8 bound...
Abstract: The theory of α−dense curves in the euclidean space Rn, n ≥ 2, was developed for finding a...
The starting point of this paper is the existence of Peano curves, that is, continuous surjections m...
In this dissertation, we turn our attention to the space of the continuous surjections between eucli...
In this paper, a study of topological and algebraic properties of two families of functions from the...
Peano curves are continuous mappings from the unit interval [0, 1] onto the n- dimensional square [0...
Este trabalho édividido em dois temas. O primeiro diz respeito às desigualdades multilineares de Boh...
AbstractIt is shown that a continuous map defined on a closed zero-dimensional subspace S of a compa...
This paper is devoted to give several improvements of some known facts in lineability approach. In p...
Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called...
We prove that any topological real line bundle on a compact real algebraic curve $X$ is isomorphic t...
In this work, we will present the concept of lineability and some applications in sets of functions....
We prove the existence of large algebraic structures - including large vector subspaces or infinitel...
In his presentation at the categories Session at Oberwolfach in 1973, Tierney defined the continuous...
It follows from the Baire theorem that comeagre sets in complete metric spaces are "topologically la...
Abstract. We construct Peano curves γ: r0,8q Ñ R2 whose “footprints” γpr0, tsq, t ą 0, have C8 bound...
Abstract: The theory of α−dense curves in the euclidean space Rn, n ≥ 2, was developed for finding a...
The starting point of this paper is the existence of Peano curves, that is, continuous surjections m...
In this dissertation, we turn our attention to the space of the continuous surjections between eucli...
In this paper, a study of topological and algebraic properties of two families of functions from the...
Peano curves are continuous mappings from the unit interval [0, 1] onto the n- dimensional square [0...
Este trabalho édividido em dois temas. O primeiro diz respeito às desigualdades multilineares de Boh...
AbstractIt is shown that a continuous map defined on a closed zero-dimensional subspace S of a compa...
This paper is devoted to give several improvements of some known facts in lineability approach. In p...
Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called...
We prove that any topological real line bundle on a compact real algebraic curve $X$ is isomorphic t...
In this work, we will present the concept of lineability and some applications in sets of functions....
We prove the existence of large algebraic structures - including large vector subspaces or infinitel...
In his presentation at the categories Session at Oberwolfach in 1973, Tierney defined the continuous...
It follows from the Baire theorem that comeagre sets in complete metric spaces are "topologically la...
Abstract. We construct Peano curves γ: r0,8q Ñ R2 whose “footprints” γpr0, tsq, t ą 0, have C8 bound...
Abstract: The theory of α−dense curves in the euclidean space Rn, n ≥ 2, was developed for finding a...