nLab applied topology

Idea

The application of topology (general topology or algebraic topology) to other fields.

Related concepts

• topology

  • general topology

  • applied topology

    • topological data analysis

  • computational topology

  • low dimensional topology

  • geometric topology

  • differential topology

    • synthetic differential topology

    • equivariant differential topology

  • algebraic topology

    • nonabelian algebraic topology

• homology/cohomology

• homotopy theory, shape theory

References

Textbook account:

• Robert Ghrist, Elementary Applied Topology (2014) [web, ISBN:978-1502880857]

See also:

• Dmitry Feichtner-Kozlov, Applied Topology Unit

On combinatorial topology

• Dmitry N. Kozlov, Trends in Topological Combinatorics [arXiv:math/0507390]

• Dmitry Kozlov, Combinatorial Algebraic Topology, Algorithms and Computation in Mathematics 21, Springer (2008) [doi:10.1007/978-3-540-71962-5]