Densifiability in hyperspaces

DOI10.1007/S13398-024-01557-4WikidataQ128914064 ScholiaQ128914064MaRDI QIDQ6491060

Unnamed Author, Unnamed Author, Gaspar Mora

Publication date: 24 April 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Continuous maps (54C05) Metric spaces, metrizability (54E35) Connected and locally connected spaces (general aspects) (54D05)

Cites Work

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• Densifiable metric spaces
• Some density properties of the closed unit ball of \(L_1\)
• Space-filling curves
• Characterization and generation of \(\alpha\)-dense curves
• Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability
• A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations
• Extending a metric
• Paths in hyperspaces
• Partitioning a set
• Grille decomposition and convexification theorems for compact metric locally connected continua
• Topologies on Spaces of Subsets
• Hyperspaces of a Continuum
• Continuous global optimization on fractals through \(\alpha\)-dense curves
• The minimal displacement problem of DND-Lipschitzian mappings
• Iterated function systems based on the degree of nondensifiability

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