A n theory, L.S. category, and strong category

• Autores: Manfred Stelzer
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 257, Nº. 1, 2007, págs. 81-106
• Idioma: inglés
• DOI: 10.1007/s00209-007-0116-5
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• Resumen

  • 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.