Extensions of continuous increasing functions

DOI10.1016/j.topol.2023.108566zbMath1523.54024OpenAlexW4376638712WikidataQ122897670 ScholiaQ122897670MaRDI QIDQ6098395

Kaori Yamazaki

Publication date: 13 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108566

zbMATH Keywords

extensionpreorder\(C\)-embeddingnormally preordered spacecontinuous increasing function\( C^\ast \)-embeddingcompletely order separatedcontrolled extensionorder \(C\)-embeddingorder \(C^\ast \)-embedding

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Monotonic functions, generalizations (26A48) Extension of maps (54C20) (C)- and (C^*)-embedding (54C45)

Cites Work

• Spaces with a property related to uniformly local finiteness
• Representations of preference orderings
• Controlling Tietze-Urysohn extensions
• Normally preordered spaces and utilities
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Extensions of zero-sets and of real-valued functions
• P-embedding and product spaces
• Extensions of Uniformly Continuous Pseudometrics
• On Real-Valued Functions in Topological Spaces
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