Applied General Topology - Vol 14, No 2 (2013)
https://riunet.upv.es:443/handle/10251/32870
2023-12-03T17:09:45ZOn functions between generalized topological spaces
https://riunet.upv.es:443/handle/10251/32892
On functions between generalized topological spaces
Bayhan, Sadik; Kanibir, A.; Reilly, Ivan L.
[EN] This paper investigates generalized topological spaces and functions between such spaces from the perspective of change of generalized topology. In particular, it considers the preservation of generalized connectedness properties by various classes of functions betweengeneralized topological spaces.
2013-10-16T10:40:06ZDiscrete dynamics on noncommutative CW complexes
https://riunet.upv.es:443/handle/10251/32891
Discrete dynamics on noncommutative CW complexes
Milani, Vida; Mansourbeigi, Seyed
[EN] The concept of discrete multivalued dynamical systems for noncommutative CW complexes is developed. Stable and unstable manifolds are introduced and their role in geometric and topological configurations of noncommutative CW complexes is studied. Our technique is illustrated by an example on the noncommutative CW complex decomposition of the algebra of continuous functions on two dimensional torus.
2013-10-16T10:37:56ZThe combinatorial derivation
https://riunet.upv.es:443/handle/10251/32890
The combinatorial derivation
Protasov, Igor V.
[EN] Let G be a group, PG be the family of all subsets of G. For a subset A ¿ G, we put ¿ (A) = {g ¿ G : |gA ¿ A| = ¿}. The mapping ¿ : PG ¿ PG, A ¿ ¿ (A), is called a combinatorial derivation and can be considered as an analogue of the topological derivation d : PX ¿ PX, A ¿ Ad, where X is a Topological space and Ad is the set of all limit points of A. Content: elementary properties, thin and almost thin subsets, partitions, inverse construction and ¿-trajectories, ¿ and d.
2013-10-16T10:24:41ZZariski topology on the spectrum of graded classical prime submodules
https://riunet.upv.es:443/handle/10251/32889
Zariski topology on the spectrum of graded classical prime submodules
Yousefian Darani, Ahmad; Motmaen, Shahram
[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either am ¿ N or bm ¿ N. The spectrum of graded classical prime submodules of M is denoted by Cl.Specg(M). We topologize Cl.Specg (M) with the quasi-Zariski topology, which is analogous to that for Specg(R).
2013-10-16T10:15:37ZOn the category of profinite spaces as a reflective subcategory
https://riunet.upv.es:443/handle/10251/32888
On the category of profinite spaces as a reflective subcategory
Tarizadeh, Abolfazl
[EN] In this paper by using the ring of real-valued continuous functions C(X), we prove a theorem in profinite spaces which states that for a compact Hausdorff space X, the set of its connected components X/~ endowed with the quotient topology is a profinite space. Then we apply this result to give an alternative proof to the fact that the category of profinite spaces is a reflective subcategory in the category of compact Hausdorff spaces. Finally, under some circumstances on a space X, we compute the connected components of the space t(X) in terms of the ones of the space X.
2013-10-16T10:01:22ZConcerning nearly metrizable spaces
https://riunet.upv.es:443/handle/10251/32887
Concerning nearly metrizable spaces
Mukherjee, M. N.; Mandal, Dhananjoy
The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It is seen that near metrizability is a natural idea vis-a-vis near paracompactness, playing the similar role as played by paracompactness with regard to metrizability
2013-10-16T09:57:44Z