Lazaar, Sami; Nacib, Saber(Universitat Politècnica de València, 2018-10-04)
[EN] In this paper, the full subcategory Hcomp of Top whose objects are Hausdorff compact spaces is identified as the orthogonal hull of the unit interval I = [0,1]. The family of continuous maps rendered invertible by the ...
Gopal, Sharan; Ravulapalli, Srikanth(Universitat Politècnica de València, 2018-10-04)
[EN] The dynamics of a projective transformation on a real projective space are studied in this paper. The two main aspects of these transformations that are studied here are the topological entropy and the zeta function. ...
Bovdi, Victor; Salim, Mohamed; Ursul, Mihail(Universitat Politècnica de València, 2018-10-04)
[EN] It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology. (ii) Under (CH) the simple ring End (Ap)/I, where I is the ...
Vielma, Jorge; Marchan, Luz(Universitat Politècnica de València, 2018-10-04)
[EN] Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology. Let Max R denote the set ...
Afrooz, Susan; Azarpanah, Fariborz; Etebar, Masoomeh(Universitat Politècnica de València, 2018-10-04)
[EN] Among variant kinds of strong continuity in the literature, the clopen continuity or cl-supercontinuity (i.e., inverse image of every open set is a union of clopen sets) is considered in this paper. We investigate ...