Hyperbolic topology of normed linear spaces

DOI10.1016/J.TOPOL.2009.04.047zbMath1192.46026OpenAlexW2012259403MaRDI QIDQ1041647

Hideki Tsuiki, Yasunao Hattori

Publication date: 3 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.047

zbMATH Keywords

Lawson topologyatommetric spacenormed linear spaceformal ballnorm topologyhyperbolic topology\(L_p\)locally uniformly rotund (convex)uniformly rotund (convex)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Product spaces in general topology (54B10)

Cites Work

• Lawson topology of the space of formal balls and the hyperbolic topology
• A computational model for metric spaces
• Embedding metric spaces into CPO's
• Continuous Lattices and Domains

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