Yang, Zhanbo(Universitat Politècnica de València, 2009-04-01)
[EN] We first study subspaces and product spaces in the context of nearness spaces and prove that U-N spaces, C-N spaces, PN spaces and totally bounded nearness spaces are nearness hereditary; T-N spaces and compact nearness ...
Tkachuk, Vladimir V.(Universitat Politècnica de València, 2009-04-01)
[EN] We show, in particular, that if nw(Nt) ≤ k for any t ϵ T and C is a dense subspace of the product ǁ{Nt : t 2 T} then, for any continuous (not necessarily surjective) map ϕ : C ͢ K of C into a compact space K with ...
Andrikopoulos, Athanasios(Universitat Politècnica de València, 2009-04-01)
[EN] Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct ...
Sankar Raj, V.; Veeramani, P.(Universitat Politècnica de València, 2009-04-01)
[EN] Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation ...
Song, Yan-Kui(Universitat Politècnica de València, 2009-04-01)
[EN] A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, ...