Models for homotopyn-types in diagram categories

✍ Scribed by Antonio R. Garzón; Jesús G. Miranda

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 629 KB
• Volume: 4
• Category: Article
• ISSN: 0927-2852
• DOI: 10.1007/bf00122253

✦ Synopsis

The classical Mac Lane-Whitehead equivalence showing that crossed modules of groups are algebraic models of connected homotopy 2-types has found a corresponding equivariant version by Moerdijk and Svensson ([22]). In this paper we show that this equivariant result has a higherdimensional version which gives an equivalence between the homotopy category of diagrams of certain objects indexed by the orbit category of a group H and H-equivariant homotopy n-types forn~ 1.