Richmond, Tom(Universitat Politècnica de València, 2023-04-05)
[EN] Given A ⊆ R, the Hattori space H(A) is the topological space (R, τA) where each a ∈ A has a τA-neighborhood base {(a−ε, a+ε) : ε > 0} and each b ∈ R − A has a τA-neighborhood base {[b, b + ε) : ε > 0}. Thus, τA may ...
Cholaquidis, Alejandro(Universitat Politècnica de València, 2023-04-05)
[EN] The study of shape restrictions of subsets of Rd has several applications in many areas, being convexity, r-convexity, and positive reach, some of the most famous, and typically imposed in set estimation. The following ...
Goswami, Amartya(Universitat Politècnica de València, 2023-04-05)
[EN] Since Hochster's work, spectral spaces have attracted increasing interest. Through this note we give a new self-contained and constructible topology-independent proof of the fact that the set of proper ideals of a ...
Bartwal, Ayush; Rawat, Shivam; Beg, Ismat(Universitat Politècnica de València, 2023-04-05)
[EN] We introduce the concept of q-ordered proximal nonunique contraction for the non self mappings and then obtain some proximity point results for these mappings. We also furnish examples to support our claims.
Mitra, Biswajit; Das, Sanjib(Universitat Politècnica de València, 2023-04-05)
[EN] One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to investigate X and Y such that C(X) isomorphic with C(Y ) implies X homeomorphic with ...