A Hilbert cube compactification of the function space with the compact-open topology

DOI10.2478/s11533-009-0041-4zbMath1192.54005OpenAlexW2072190947MaRDI QIDQ2268531

Katsuro Sakai, Atsushi Kogasaka

Publication date: 8 March 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0041-4

zbMATH Keywords

compactificationHilbert cubecompact-open topologyFell topologyfunction spacepseudo-boundarypseudo-interior

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items

A Hilbert cube compactification of a function space from a Peano space into a one-dimensional locally compact absolute retract

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain topological properties of completions of functional spaces with respect to Hausdorff uniformity
• A Hilbert cube compactification of the Banach space of continuous functions
• Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.
• On the Fell topology
• A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
• Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds
• Partitioning a set
• Grille decomposition and convexification theorems for compact metric locally connected continua
• Completions of spaces of functions on compact spaces with respect to the Hausdorff uniformity