Function space of continuous maps from Peano continuum to tree I

DOI10.1016/j.topol.2020.107543zbMath1479.54039OpenAlexW3114155685MaRDI QIDQ820701

Lin Yang, Han-Biao Yang, Ying-Ying Jin

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107543

zbMATH Keywords

treeHausdorff distancefunction spaceconnected componenthypograph

Mathematics Subject Classification ID

Continua and generalizations (54F15) Function spaces in general topology (54C35)

Related Items (1)

Function space of continuous maps from \([0, 1\) to tree. II]

Cites Work

• A function space from a compact metrizable space to a dendrite with the hypo-graph topology
• Topological classification of function spaces with the Fell topology. I.
• A pair of spaces of upper semi-continuous maps and continuous maps
• Topological classification of function spaces with the Fell topology. III.
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• Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.
• The hyperspace of the regions below continuous maps with the Fell topology
• Baire category properties of function spaces with the Fell hypograph topology
• Topological classification of function spaces with the Fell topology. II.
• Topological classification of function spaces with the Fell topology. IV.
• The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\)
• Hyperspaces of Peano continua are Hubert cubes
• Partitioning a set
• Grille decomposition and convexification theorems for compact metric locally connected continua
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