General topology Filters, nets and convergence Concept
Convergence of filters
Summary
A filter on a topological space converges to a point when it contains every neighbourhood of . This notion extends the convergence of sequences to all spaces. Closures, continuity, compactness and the Hausdorff property can all be described by convergent filters.
Where this leads
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Further reading
About this page
| Tag | 70M1VAPFN0 |
|---|---|
| URI | m2://70M1VAPFN0 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54A20 |
| Changed | 2 November 2026 |
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