Arhangelskii, A.V.; Uspenskij, Vladimir V.(Universitat Politècnica de València, 2006-04-01)
[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement ...
Zvina, Irina(Universitat Politècnica de València, 2006-04-01)
[EN] The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are ...
Pan, Wenxi; Xu, Jingshi(Universitat Politècnica de València, 2006-04-01)
[EN] The concept of strong nearest-cross point (strong n.c. point) is introduced, which is the generalization of strong uniqueness of best approximation from a single point. The relation connecting to localization is ...
[EN] We study various weaker versions of metrizability for pseudocompact abelian groups G: singularity (G possesses a compact metrizable subgroup of the form mG, m > 0), almost connectedness (G is metrizable modulo the ...