The Chabauty and the Thurston topologies on the hyperspace of closed subsets

DOI10.2969/JMSJ/06910263zbMath1371.54132OpenAlexW2575740310MaRDI QIDQ520637

Yong-Cai Geng, Sumit K. Garg

Publication date: 5 April 2017

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1484730026

zbMATH Keywords

compactificationhyperspacelocally compactfilternetChabauty topologygeodesic laminationHausdorff spaceThurston topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) General geometric structures on low-dimensional manifolds (57M50) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

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