Attaching cells to finite complexes, with an application to elliptic spaces

DOI10.1017/S0305004100074351zbMath0852.55017OpenAlexW1975278854MaRDI QIDQ4877676

Geoffrey M. L. Powell

Publication date: 8 December 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074351

zbMATH Keywords

homologyHilbert seriesHopf algebraAdams-Hilton modelloop spaceCW complex\(p\)-elliptic space\(p\)-inert map\(p\)-lazy map

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Localization and completion in homotopy theory (55P60)

Cites Work

• On the chain algebra of a loop space
• On the mod p Betti numbers of loop spaces
• Gorenstein spaces
• Non-commutative graded algebras and their Hilbert series
• Universal enveloping algebras and loop space homology
• Algèbres connexes et homologie des espaces de lacets
• Torsion in homotopy groups
• Elliptic spaces
• ON THE PONTRYAGIN ALGEBRA OF THE LOOPS ON A SPACE WITH A CELL ATTACHED
• Elliptic Hopf Algebras
• Hopf Algebras up to Homotopy

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