Realcompactness and spaces of vector-valued functions

DOI10.4064/fm172-1-3zbMath0997.46028arXivmath/0010261OpenAlexW1966134070MaRDI QIDQ2773375

Jesús Araujo

Publication date: 21 February 2002

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010261

zbMATH Keywords

realcompactnessspaces of vector-valued functionsbiseparating maphomeomorphic compactifications

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Spaces of vector- and operator-valued functions (46E40) Realcompactness and realcompactification (54D60) Algebraic properties of function spaces in general topology (54C40)

Related Items (12)

A generalization of a theorem on biseparating maps. ⋮ Disjointness Preservers and Banach-Stone Theorems ⋮ Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity ⋮ Nonlinear order isomorphisms on function spaces ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ Linear biseparating maps between vector-valued little Lipschitz function spaces ⋮ Biseparating maps on Fréchet function algebras ⋮ Banach-Stone theorems for vector valued functions on completely regular spaces ⋮ Compact and weakly compact disjointness preserving operators on spaces of differentiable functions ⋮ Banach-Stone theorems for maps preserving common zeros ⋮ Biseparating maps between Lipschitz function spaces ⋮ Inverses of disjointness preserving operators

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