## Topological 2-categories and Principal Topological Categories |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

2-category structure agree on objects agrees with F category G classifying space commutes composition in G composition of natural continuous functors ct,g define the functors Definition l.l.l discrete disjoint union topology epimorphism equivalence class expressed uniquely F TX q,p following diagram free topological category g e Mor G G in TOPCatp G q,p homomorphism homotopy equivalence homotopy inverse horizontal composition identity morphisms identity on objects interchange law iterate of Q Mor Gc q,p Mor TX q,p Mor X(p MorG morphism and object morphism spaces n-times natural isomorphism natural trans natural transformation object and morphism object sets object space ObX(p ordered pair permutative category principal topological category q i p r,q,p e ran g Segal G-space small category small triangle structure functions theorem TOP 2-catp topological P-graph transformation of functors underlying category University of Virginia xX(p