A new approach to metrization

DOI10.1016/S0166-8641(01)00165-1zbMath0996.54043MaRDI QIDQ697585

Miguel Angel Sánchez-Granero, Francisco García Arenas

Publication date: 17 September 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

inverse limitinverse sequenceGF-spacenon-Archimedean quasimetrictransitive quasi-uniformity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Uniform structures and generalizations (54E15) Spectra in general topology (54B35) Semimetric spaces (54E25)

Related Items (9)

A new fractal dimension for curves based on fractal structures ⋮ How to calculate the Hausdorff dimension using fractal structures ⋮ A survey on fractal dimension for fractal structures ⋮ Real-valued functions and some related spaces ⋮ Counterexamples in theory of fractal dimension for fractal structures ⋮ A characterization of self-similar symbolic spaces ⋮ On discrete models of fractal dimension to explore the complexity of discrete dynamical systems ⋮ Theoretical properties of fractal dimensions for fractal structures ⋮ Generating pre-fractals to approach real IFS-attractors with a fixed Hausdorff dimension

Cites Work

• A note concerning the Collins, Reed, Roscoe, Rudin metrization theorem
• C-complete quasi-uniform spaces
• Coverings versus entourages
• \(\aleph\)-spaces and \(g\)-metrizable spaces and CF family
• Tilings in topological spaces
• Modern analysis and topology
• Metrizability of Decomposition Spaces
• Closed mappings and metric spaces
• A theorem for metrizability of a topological space
• Criteria for Metrisability
• A Lattice of Conditions on Topological Spaces
• Hereditarily Closure-Preserving Collections and Metrization
• Locally Uniform Spaces
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