Topological category

In mathematics, a topological category is a category that is enriched over the category of compactly generated Hausdorff spaces. They can be used as a foundation for higher category theory (Lurie 2009).

See also

• Infinity category
• Simplicial category

References

• Lurie, Jacob (2009), Higher topos theory, Annals of Mathematics Studies, 170, Princeton University Press, arXiv:math.CT/0608040, ISBN 978-0-691-14049-0; 978-0-691-14049-0, MR2522659