# partition of unity

> set of continuous functions from a topological space to the unit interval [0,1] such that for every point x, there is a neighborhood of x where a cofinite number of the functions are 0, and such that the sum of all the function values at x is 1

**Wikidata**: [Q191690](https://www.wikidata.org/wiki/Q191690)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Partition_of_unity)  
**Source**: https://4ort.xyz/entity/partition-of-unity


## References

1. Freebase Data Dumps. 2013
2. [OpenAlex](https://docs.openalex.org/download-snapshot/snapshot-data-format)