# Sheaves, Cosheaves and Applications

@article{Curry2014SheavesCA, title={Sheaves, Cosheaves and Applications}, author={J. Curry}, journal={arXiv: Algebraic Topology}, year={2014} }

This thesis develops the theory of sheaves and cosheaves with an eye towards applications in science and engineering. To provide a theory that is computable, we focus on a combinatorial version of sheaves and cosheaves called cellular sheaves and cosheaves, which are finite families of vector spaces and maps parametrized by a cell complex. We develop cellular (co)sheaves as a new tool for topological data analysis, network coding and sensor networks. A foundation for multi-dimensional level-set… CONTINUE READING

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##### Publications referenced by this paper.

SHOWING 1-10 OF 126 REFERENCES

Multidimensional Interleavings and Applications to Topological Inference

- Mathematics, Computer Science
- 2012

17