Künzi, Hans-Peter A.(Universitat Politècnica de València, 2000-10-01)
[EN] The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting under open, closed and uniformly open mappings is investigated. In particular, it is noted that between quasi-uniform ...
Künzi, Hans-Peter A.; Richmond, Thomas A.(Universitat Politècnica de València, 2005-10-01)
[EN] We present a construction which shows that the Ti-ordered reflection (i ϵ {0, 1, 2}) of a partially ordered topological space (X, , τ, ≤) exists and is an ordered quotient of (X, τ, ≤). We give an explicit construction ...
Künzi, Hans-Peter A.(Universitat Politècnica de València, 2003-10-01)
[EN] We prove that each regular hereditarily metacompact (monotonic) β-space has the property that the third power of any neighbornet belongs to its point-finite quasi-uniformity.