Revistas académicas de la Universidad Católica del Norte
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On some maps concerning gβθ-Open Sets
No full textIn this paper, we consider a new notion of βθ-open maps via the concept of gβθ-closed sets which we call approximately βθ-open maps. We study some of its fundamental properties. It turns out that we can use this notion to obtain a new characterization of βθ-Ti spaces
Topological Euler Characteristic of Punctual Quot Schemes on the Projective Plane
No full textIn this work, we present improvements to results proved by Ellingsrud and Lenhabout smoothness, irreducibility, and the dimension of Quot punctual schemes on Surfaces. Finally,following the techniques presented by Ellingsrud and Stromme, we obtain a formula to compute theEuler characteristic of the punctual Quot scheme on P^2
Quotient space Riemann integration on time scales
No full textThis paper introduces the notion of Riemann integration for quotientspace valued functions on time scales. Quotient Riemann ∆-integral, quotient Riemann ∇-integral and quotient Riemann ♢α-integral are defined.Results establishing that ∆- and ∇-integrals are special cases of quotientRiemann ♢α-integral are observed; and a few standard results formulated.
The relation between Banach valued Riemann integral and quotient valued Riemann integral is established. Notion of continuity of functions usingquotient norm is defined and it’s integrability proved
Connectedness in Jäger - Šostak's i-fuzzy topological spaces
No full textG.Jäger [Compactness and connectedness as absolute properties in fuzzy topological spaces, Fuzzy sets and Systems 94(1998) 405-401] introduced a kind of (general) fuzzy topological space. In this paper, we propose a new kind of topological space in Šostak's sense, called Jäger-Šostak's I-fuzzy topological space, which reduced to Jäger's (general) fuzzy topological to two-valued logic. After that for each fuzzy subset of Jäger-Šostak's I-fuzzy topological space, we define a degree of connectedness, which overcome the deficit of study for the whole space a degree of being connected in public papers, and establish two characteristic theorems of the degree of being connectedness. Doing so we find that the degree of connectedness is an absolute property in Jäger- Šostak's I-fuzzy topology
θ-generalized semi-open and θ-generalized semi-closed functions
No full textIn this paper, we introduce and study the notions of θ-generalized-semi-open function, θ-generalized- semi-closed function,pre θ-generalized-semi-open function,pre θ-generalized-semi-closed function, contra pre θ-generalized-semi-open, contra pre θ-generalized-semi-do sed function and θ-generlized-sem-homeomorphism in topological spaces and study their properties
Products of LF-topologies and separation in LF-top
No full textFor a GL-monoid L provided with an uniform structure, we build an LF-topology on the cartesian product of a family of LF-topological spaces. We also show that the product of an arbitrary family of Kolmogoroff (Hausdorff) LF-topological spaces is again a Kolmogoroff (Hausdorff) LF-topological space
Minimal open sets on generalized topological space
No full textWe introduce the notion of minimal open sets in a generalized topological space (X, μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X, μ) is a μ-preopen set
The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
No full textIn this work, the multi-step homotopy analysis method (MHAM) is applied to obtain the explicit analytical solutions for system of the Jaulent Miodek equations. The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Thus, it is valid for both weakly and strongly nonlinear problems. this work verifies the validity and the potential of the MHAM for the study of nonlinear systems. A comparative study between the new algorithm and the exact solution is presented graphically. convenient
On graded pseudo 2-prime ideals
No full textIn this paper, we study graded pseudo 2-prime ideals of graded commutative rings with nonzero identities. Let G be a commutative additive monoid with an identity element 0, and R=⊕g∈G Rg be a commutative graded ring with a nonzero identity element. A proper graded ideal I of R is said to be a graded pseudo 2-prime ideal if whenever ab ∈ I for some homogeneous elements a,b ∈ R, then a²ⁿ ∈ Iⁿ or b²ⁿ ∈ Iⁿ for some n ∈ ℕ. Besides giving many properties of graded pseudo 2-prime ideals, we characterize graded almost valuation domains in terms of our new concept
Generalized Balancing and Balancing-Lucas numbers
No full textIn this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties