Weak \(C\)-embedding and \(P\)-embedding, and product spaces

DOI10.1016/S0166-8641(01)00275-9zbMath1013.54006MaRDI QIDQ1862086

Takao Hoshina, Kaori Yamazaki

Publication date: 10 March 2003

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

zbMATH Keywords

continuous \(\gamma\)-pseudometricweakly \(P^\gamma\)-embedded

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) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Extension of maps (54C20) Embedding (54C25) Real-valued functions in general topology (54C30)

Related Items (4)

Absolute weak \(C\)-embedding in Hausdorff spaces ⋮ Free locally convex spaces and $L$-retracts ⋮ Some relative normality properties in locales ⋮ On C-embedded subspaces of the Sorgenfrey plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On paracompactness
• Embeddings extending various types of disjoint sets
• On the dimension of the product of topological spaces
• On relatively normal spaces, relatively regular spaces, and on relative property \((a)\)
• Extensions of functions which preserve the continuity on the original domain
• A cardinal generalization of \(C^*\)-embedding and its applications
• Relative topological properties and relative topological spaces
• Extensions of zero-sets and of real-valued functions
• Paracompactness and product spaces
• The normality of products with one compact factor
• P-embedding and product spaces
• Spaces in Which Special Sets are z-Embedded
• Collectionwise normality and extensions of continuous functions
• Lindelöf property and absolute embeddings
• Extensions of Pseudometrics
• On a Characterization of Collectionwise Normality
• Collectionwise normality and the extension of functions on product spaces
• On Countably Paracompact Spaces
• Metrization of Topological Spaces

This page was built for publication: Weak \(C\)-embedding and \(P\)-embedding, and product spaces