Arhangelskii, A.V.(Universitat Politècnica de València, 2000-10-01)
[EN] A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural ...
Arhangelskii, A.V.; Bella, Angelo(Universitat Politècnica de València, 2007-10-01)
[EN] We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal. This answer a ...
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 ...