شماره ركورد كنفرانس :
3360
عنوان مقاله :
ATOMS IN THE LATTICE OF QUASI-UNIFORMITIES
Author/Authors :
BEHNAM BAZIGARAN Department of Mathematics - University of Kashan , MEHRNAZ POURATTAR Department of Mathematics - University of Kashan
كليدواژه :
Quasi-uniformity , atom , complete lattice
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
In this paper, we review the properties of atoms in the lattice of quasi-uniformities. In particular, we show that in the
lattice of quasi-uniformities a quasi-uniformity is an atom if and only if it generated by special preorders. Furthermore, we observe that any atom in the lattice of quasi-uniformity must be totally bounded and transitive while it cannot be a uniformity
