Abstract
Associated with each uniform space (S, U) there is a uniform lattice (P, V, ≦) called the scale of (S, U). The scale was first introduced by D. Bushaw (see [2] and [3]) for the purpose of studying stability in topological dynamics. Further properties of the scale were investigated in [4], and this paper pursues one of the research problems suggested in the latter paper.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
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1. The scale of a quasi-uniform space;Acta Mathematica Hungarica;2010-03-17
2. On the order scale of a uniform space;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1983-04
3. Topological properties of the scale of a uniform space;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1982-08
4. Connectedness in the scale of uniform subspaces of R;Journal of the Australian Mathematical Society;1974-12