Dubrovnik VI – Geometric Topology September 30 – October 7, 2007
	ABSTRACTS	pdf-version of this abstract

Dončo Dimovski
University of Skopje, Macedonia

(3,1,ρ)-metrizable topological spaces

We compare the notions of o-metrizable, pseudo-o-metrizable and symmetrizable topological spaces with the notion of (3,1,ρ)-metrizable spaces. We show the following:

1. A topological space is pseudo-o-metrizable if and only if it is (3,1,ρ)-metrizable.
2. A topological space is o-metrizable if and only if it is (3,1,Δ)-metrizable.
3. A topological space is symmetrizable if and only if it is (3,1,Δ)-metrizable with a (3,1,Δ) metric d, satisfying: d(x,x,y)=d(x,y,y) for all x,y.