Some concepts used in valued spaces (spherical completeness and closure, pseudo-convergence) are introduced in the study of omega_mu-metric spaces; in this context such notions are discussed and employed to show some extensions of theorems well-known in metric spaces (contraction lemma, Baire's theorem, embedding of the generalized Cantor space).
Some Results on omega_mu-metric spaces
ARTICO, GIULIANO;MORESCO, ROBERTO
1981
Abstract
Some concepts used in valued spaces (spherical completeness and closure, pseudo-convergence) are introduced in the study of omega_mu-metric spaces; in this context such notions are discussed and employed to show some extensions of theorems well-known in metric spaces (contraction lemma, Baire's theorem, embedding of the generalized Cantor space).
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