We give a necessary and sufficient condition for a topological space to be omega_mu-metrizable (i.e. it admits a uniformity with a linearly ordered base of ccofinality omega_mu). This characterization, which extends a classic result of R.H. Bing, leads us to prove that the omega_mu-additive spaces which are either linearly ordered or omega_mu-compact are omega_mu-metrizable iff their diagonal is the intersection of a family of omega_mu-many open sets.
Some omega_mu-metrization theorems
ARTICO, GIULIANO;MORESCO, ROBERTO
1982
Abstract
We give a necessary and sufficient condition for a topological space to be omega_mu-metrizable (i.e. it admits a uniformity with a linearly ordered base of ccofinality omega_mu). This characterization, which extends a classic result of R.H. Bing, leads us to prove that the omega_mu-additive spaces which are either linearly ordered or omega_mu-compact are omega_mu-metrizable iff their diagonal is the intersection of a family of omega_mu-many open sets.File in questo prodotto:
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