Rational formality of function spaces.
Vigué-Poirrier, Micheline (2007)
Journal of Homotopy and Related Structures
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Displaying similar documents to “Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.”
Rational formality of function spaces.
Examples of homotopy Lie algebras
Klaus Bering, Tom Lada (2009)
Archivum Mathematicum
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We look at two examples of homotopy Lie algebras (also known as algebras) in detail from two points of view. We will exhibit the algebraic point of view in which the generalized Jacobi expressions are verified by using degree arguments and combinatorics. A second approach using the nilpotency of Grassmann-odd differential operators to verify the homotopy Lie data is shown to produce the same results.
An algebraic model for homotopy fibers.
Dupont, Nicolas, Hess, Kathryn (2002)
Homology, Homotopy and Applications
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On constructing resolutions over the polynomial algebras.
Johansson, Leif, Lambe, Larry, Sköldberg, Emil (2002)
Homology, Homotopy and Applications
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On the homotopy type of a chain algebra.
Benkhalifa, Mahmoud (2004)
Homology, Homotopy and Applications
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Note on the rational cohomology of the function space of based maps.
Kotani, Yasusuke (2004)
Homology, Homotopy and Applications
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Minimal finite models.
Barmak, Jonathan Ariel, Minian, Elias Gabriel (2007)
Journal of Homotopy and Related Structures
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Homotopy theory induced by cones.
F. J. Díaz, S. Rodríguez-Machín (2001)
Extracta Mathematicae
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Cores of spaces, spectra, and ring spectra.
Hu, P., Kriz, I., May, J.P. (2001)
Homology, Homotopy and Applications
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Nilpotency of self homotopy equivalences with coefficients
Maxence Cuvilliez, Aniceto Murillo, Antonio Viruel (2011)
Annales de l’institut Fourier
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In this paper we study the nilpotency of certain groups of self homotopy equivalences. Our main goal is to extend, to localized homotopy groups and/or homotopy groups with coefficients, the general principle of Dror and Zabrodsky by which a group of self homotopy equivalences of a finite complex which acts nilpotently on the homotopy groups is itself nilpotent.