Topological category

Template:Short description Template:Other uses In category theory, a discipline 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, where they can play the role of ($\mathrm{\infty }$,1)-categories. An important example of a topological category in this sense is given by the category of CW complexes, where each set Hom(X,Y) of continuous maps from X to Y is equipped with the compact-open topology. Template:Harv

See also

• Infinity category
• Simplicial category

References

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External links

• topologically enriched category at the nLab