Antheory, L.S. category, and strong category

✍ Scribed by Manfred Stelzer

• Publisher: Springer-Verlag
• Year: 2007
• Tongue: French
• Weight: 394 KB
• Volume: 257
• Category: Article
• ISSN: 0025-5874
• DOI: 10.1007/s00209-007-0116-5

✦ Synopsis

Relations between category and strong category are studied. The notion of a homotopy coalgebra of order r over the Ganea comonad is introduced. It is shown that cat(X) =Cat(X) holds if a finite 1-connected complex X carries such a structure with r sufficiently large