Criteria for Metrisability
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Publication:3327332
DOI10.2307/2045042zbMath0541.54034OpenAlexW3147843599MaRDI QIDQ3327332
A. W. Roscoe, Peter J. Collins
Publication date: 1984
Full work available at URL: https://doi.org/10.2307/2045042
metrization theoremdouble sequence-metrization theoremcharacterization of semi- metrizable spacescollectionwise normal developable \(T_ 1\)-spaces
Metric spaces, metrizability (54E35) Moore spaces (54E30) Semimetric spaces (54E25) Separability of topological spaces (54D65)
Related Items (38)
A study on \(D\)-spaces and the metrizability of compact spaces with property (\(\sigma \)-A) ⋮ Compact universals ⋮ Compact generators ⋮ Concerning the Dugundji extension property ⋮ Mal'tsev spaces, retral spaces and rectifiable diagonals ⋮ More about Collins-Roscoe property in function spaces ⋮ Coverings versus entourages ⋮ A study on symmetric products of generalized metric spaces ⋮ Projectively first-countable semitopological groups with certain \(D\)-properties ⋮ Every \(\Sigma_{s}\)-product of \(K\)-analytic spaces has the Lindelöf {\(\Sigma\)}-property ⋮ Cuf products and cuf sums of (quasi-) metrizable spaces in ZF ⋮ Existence of nice weak bases implies the \(D\)-property ⋮ The Collins-Roscoe property and its applications in the theory of function spaces ⋮ Monotonically monolithic spaces, Corson compacts, and \(D\)-spaces ⋮ Notes on the Collins-Roscoe property and \(D\)-spaces ⋮ Free locally convex spaces and $L$-retracts ⋮ Well-ordered (F) spaces are \(D\)-spaces ⋮ A Lattice of Conditions on Topological Spaces ⋮ Predictable network, monotonic monolithicity and \(D\)-spaces ⋮ Unnamed Item ⋮ The Collins-Roscoe mechanism and \(D\)-spaces ⋮ Monotone normality ⋮ The Collins-Roscoe structuring mechanism, \(D\)-spaces and related topics ⋮ Topological Spaces with Point-Networks ⋮ Some sufficiency conditions for \(D\)-spaces, dually discrete and its applications ⋮ Metrisation of Moore spaces and abstract topological manifolds ⋮ A note on proto-metrisable spaces ⋮ A construction that yields a nonacyclic monotonically normal space ⋮ Acyclic monotone normality ⋮ A new approach to metrization ⋮ Open problems left in my wake of research ⋮ \(D\)-property, monotone monolithicity and function spaces ⋮ Monotonically normal $e$-separable spaces may not be perfect ⋮ Another View of Metrizability ⋮ Several results on compact metrizable spaces in \(\mathbf{ZF} \) ⋮ Point networks for special subspaces of $\mathbb {R}^{\kappa }$ ⋮ Weak bases and quasi-pseudo-metrization of bispaces ⋮ Remarks on metrizability and generalized metric spaces
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