Algebraic topology Homotopy: basic notions Concept
Null-homotopic map
Summary
A continuous map is null-homotopic when it is homotopic to a constant map. Null-homotopic maps are the trivial maps of homotopy theory. For example, a map is null-homotopic exactly when it extends over the disk .
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About this page
| Tag | SMEV5BSQ5S |
|---|---|
| URI | m2://SMEV5BSQ5S |
| Kind | concept |
| Writing | W0 stub |
| MSC | 55Q05, 55P10 |
| Specializes | Continuous map |
| Changed | 2 November 2026 |
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