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In mathematics, topological complexity of a topological space X (also denoted by TC(X)) is a topological invariant closely connected to the motion planning problem[further explanation needed], introduced by Michael Farber in 2003.
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topological complexity displaystyle space px points tc connected motion planning farber 2003 gamma define times path configuration mathematics also denoted
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Topological complexity | is a | minimal number k such thatthere exists an open cover | 0.90 | text |
| Topological complexity | related to Definition | Let | 0.60 | section |
| Topological complexity | related to Definition | PX | 0.60 | section |
| Topological complexity | related to Definition | Define | 0.60 | section |
| Topological complexity | related to Definition | The | 0.60 | section |
| Topological complexity | related to Examples | The | 0.60 | section |
| Topological complexity | related to Examples | TC | 0.60 | section |
| Topological complexity | related to Examples | For | 0.60 | section |
| Topological complexity | related to Examples | Any | 0.60 | section |
| Topological complexity | related to Examples | If | 0.60 | section |
| Topological complexity | related to Examples | Euclidean | 0.60 | section |
| Topological complexity | related to Examples | Klein | 0.60 | section |
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