Live briefing
Everything about Webbed space
Space where open mapping and closed graph theorems hold
In mathematics, particularly in functional analysis, a webbed space is a topological vector space designed with the goal of allowing the results of the open mapping theorem and the closed graph theorem to hold for a wider class of linear maps whose codomains are webbed spaces. A space is called webbed if there exists a collection of sets, called a web that satisfies certain properties. Webs were first investigated by de Wilde. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Webbed spaceA 5-minute orientation
- Pick up a classic book: Design for communityThe most-reprinted book on the subject
- Read the landmark paper: Mackey convergence and quasi‐sequentially webbed spacesCited 1 times
- Go sideways: Barrelled spaceA closely related topic
- Go sideways: Closed graph theorem (functional analysis)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
📚 Books worth reading
Design for communityDerek M. Powazek · 2001
Understanding search enginesMichael W. Berry · 1999
Geospatial Semantics and the Semantic WebNaveen Ashish · 2011
Web communitiesYanchun Zhang, Jeffrey Xu Yu · 2005- 📕Semantic Web in Earth and Space Science. Current Status and Future DirectionsT. Narock, P. Fox · 2015
- 📕Semantic Web in Earth and Space ScienceTom Narock, Peter Fox · 2015
Closed graph theorems and webbed spacesM. de Wilde · 1978- 📕The Life Sciences Data Archive (LSDA) on the World Wide WebGoddard Space Flight Center. · 1996
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Barrelled space In functional analysis and related areas of mathematics, a barrelled space (also written barreled space) is a topological vector space (TVS) for which…
- Closed graph theorem (functional analysis) In mathematics, particularly in functional analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological…
- Ultrabornological space In functional analysis, a topological vector space (TVS) X is called ultrabornological if every bounded linear operator from X into another TVS is necessarily…
- Locally convex topological vector space In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological…
- Topological vector space In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures…
- Bornological space In mathematics, particularly in functional analysis, a bornological space is a type of space which, in some sense, possesses the minimum amount of structure…
- Almost open map In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to,…
- Fréchet space In functional analysis and related areas of mathematics, Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces. They are generaliza…