• Bioperation approach to Przemski's decomposition theorems 

      Carpintero, Carlos; Nirmala, Rajendren; Rajesh, N.; ROSAS, ENNIS (Corporación Universidad de la Costa, 2020)
      Przemski introduced D(?, s)-set, D(?, b)-set, D(p, sp)-set, D(p, b)- set and D(b, sp)-set to obtain several decompositions of continuity. In this paper, we extend these sets via bioperation and obtain new decompositions ...
    • Characterizations of upper and lower (α, β, θ, δ, I)-continuous multifunctions 

      ROSAS, ENNIS; Carpintero, Carlos; Sanabria, Jose; Vielma, J. (Corporación Universidad de la Costa, 2021)
      Given a multifunction F : (X; _ ) ! (Y; _), _; _ oper-ators on (X; _ ), _; _ operators on (Y; _) and I a proper ideal on X. The purpose of the present paper is to introduce, study and characterize upper and lower (_; _; ...
    • Contra-continuous functions defined through ΛI-closed sets 

      SANABRIA, JOSÉ; GRANADOS, CARLOS; ROSAS, ENNIS; CARPINTERO, CARLOS (Corporación Universidad de la Costa, 2021)
      We introduce some variants of contra-continuity in terms of ΛI-closed sets, namely contra-ΛI-continuous, contra quasi-ΛI-continuous and contra ΛI-irresolute functions. The relationships between these functions are investigated ...
    • New types of locally connected spaces via clopen set 

      ROSAS, ENNIS; namiq, sarhad (Corporación Universidad de la Costa, 2021)
      In this paper, we define and study a new type of connected spaces called λco-connected space. It is remarkable that the class of λ-connected spaces is a subclass of the class of λco-connected spaces. We discuss some ...
    • On contra λsi-continuous functions and their applications 

      Granados, Carlos; Sanabria, José; ROSAS, ENNIS; Carpintero, Carlos (Corporación Universidad de la Costa, 2021)
      In this work, we introduce and study the classes of contra ΛsI-continuous,contra quasi-ΛsI-continuous and contra ΛsI-irresolute functions in a topological spaceendowed with an ideal. We investigate the relationships among ...
    • On minimal λco-open sets 

      ROSAS, ENNIS (Corporación Universidad de la Costa, 2020)
      We introduce and discuss the notions of minimal λco-open sets in topological spaces. We establish some of it basic fundamental properties of minimal λco-open. We show that the notions of minimal open sets and minimal ...
    • On the hereditary character of certain spectral properties and some applications 

      Carpintero, Rafael; ROSAS, ENNIS; García, Orlando; Sanabria, José; Malaver, Andrés (Corporación Universidad de la Costa, 2021)
      In this paper we study the behavior of certain spectral properties of an operator T on a proper closed and T-invariant subspace W ⊆ X such that T n(X) ⊆ W, for some n ≥ 1, where T ∈ L(X) and X is an infinite-dimensional ...
    • On λ D − R0 And λ D − R1 Spaces 

      namiq, sarhad; ROSAS, ENNIS (Corporación Universidad de la Costa, 2020)
      In this paper we introduce the new types of separation axioms called λ D − R0 and λ D − R1 spaces, by using λ D-open set. The notion λ D − R0 and λ D − R1 spaces are introduced and some of their properties are investigated.
    • S-I-convergence of sequences 

      Guevara, Andrés; Sanabria, José; ROSAS, ENNIS (Universidad de la Costa, 2020)
      In this article, we use the notions of a semi-open set and topological ideal, in order to define and study a new variant of the classical concept of convergence of sequences in topological spaces, namely, the S-I-convergence. ...
    • Sobre las descomposiciones de continuidad usando bioperaciones 

      Schnorr, Carlos Eduardo; ROSAS, ENNIS (Corporación Universidad de la Costa, 2021-05-13)
      En este espacio propiciado por el Departamento de Ciencias Naturales y Exactas, primeramente se habla un poco sobre la historia de las descomposiciones y se explica porqué los conjuntos abiertos generalizados juegan un ...