arXiv (All)
open access
A Weak Topology on Metric Spaces
We use metric functionals to build a weak topology associated with $d$-weak convergence on metric spaces. We also show the existence of a sequence in the space $C[0,1]$ that is unbounded in the sup-norm yet converges $d$-weakly. This points out an error in an earlier work.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Some function applications of weak $λ$-spaces#799492
- Some function applications of weak $λ$-spaces#798069
- A strictly convex and smooth Banach space with the Daugavet property#1070053
- Kernel estimates for the Weyl-Hörmander calculus, Weak (1,1) boundedness and other regularity properties#1036083
- On some classes of nearly open sets#610677
Record · ID 1013964
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive