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

Autor(en): Stelzer, Manfred 
Stichwörter: CONE-LENGTH; CONJECTURE; LOOP-SPACES; LUSTERNIK-SCHNIRELMANN CATEGORY; Mathematics; TOPOLOGICAL-SPACES
Erscheinungsdatum: 2007
Herausgeber: SPRINGER HEIDELBERG
Journal: MATHEMATISCHE ZEITSCHRIFT
Volumen: 257
Ausgabe: 1
Startseite: 81
Seitenende: 106
Zusammenfassung: 
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.
ISSN: 00255874
DOI: 10.1007/s00209-007-0116-5

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