Linear extensions of some Baire-one functions

DOI10.1007/s00013-017-1102-8zbMath1386.54007OpenAlexW2758781795MaRDI QIDQ1692350

Waldemar Sieg

Publication date: 26 January 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-017-1102-8

zbMATH Keywords

extensionzero setpiecewise continuous functionnormal spaceperfectly normal spaceBaire one star functionBaire one functionTietze extension theoremBorsuk-Dugundji extensionKuratowski extension theorem

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Extension of maps (54C20) Real-valued functions in general topology (54C30)

Related Items (2)

Linear extensions of Baire-alpha functions ⋮ Extensions of semicontinuous and quasi-continuous functions from dense subspaces

Cites Work

• Extensions of discrete and equal Baire functions
• Approximately differentiable functions: The r-topology
• Topology and maps
• Baire one star functions
• The equality between Borel and Baire classes
• Extending Baire-one functions on topological spaces
• Relations among continuous and various non-continuous functions
• An extension of Tietze's theorem
• Affine extensions of functions with a closed graph
• Characterizations of Baire ∗ 1 Functions in General Settings
• Baire ∗ 1, Darboux Functions
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