By a *-compactification of a
T0
quasi-uniform space (
X, U
) we mean a compact
T0
quasi-uniform space (
Y, V
) that has a
T
(
V
∨
V−1
)-dense subspace quasi-isomorphic to (
X, U
). We prove that (
X, U
) has a *-compactification if and only if its
T0
biocompletion
)-closed (we remark that as partial order of *-compactifications we use the inverse of the partial order used for
T2
compactifications of Tychonoff spaces). Applications of our results to some examples in theoretical computer science are given.
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Studia Scientiarum Mathematicarum Hungarica
Language
English
French
German
Size
B5
Year of
Foundation
1966
Volumes
per Year
1
Issues
per Year
4
Founder
Magyar Tudományos Akadémia
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher
Akadémiai Kiadó
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.