Finiteness properties of self-equivalence.
Ken-ichi Maruyama (1992)
Manuscripta mathematica
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Displaying similar documents to “Homotopy nilpotent Lie groups have no torsion in homology.”
Finiteness properties of self-equivalence.
On the Homotopy of Non-Nilpotent Spaces.
Jean-Claude Hausmann (1981)
Mathematische Zeitschrift
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A4n-polyhedra with free homology.
Hans Michael Unsöld (1989)
Manuscripta mathematica
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Rational nilpotent groups as subgroups of self-homotopy equivalences
Salvina Piccarreta (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Homotopy Invariance of Transverse Homology Functors
Sara Dragotti, Gaetano Magro, Lucio Parlato (2007)
Bollettino dell'Unione Matematica Italiana
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We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.
Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.
Gatsinzi, J.-B. (2004)
Homology, Homotopy and Applications
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Nilpotent subgroups of the group of fibre homotopy equivalences.
Yves Félix, Jean-Claude Thomas (1995)
Publicacions Matemàtiques
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Let ξ = (E, p, B, F) be a Hurewicz fibration. In this paper we study the space L(ξ) consisting of fibre homotopy self equivalences of ξ inducing by restriction to the fibre a self homotopy equivalence of F belonging to the group G. We give in particular conditions implying that π(L(ξ)) is finitely generated or that L(ξ) has the same rational homotopy type as aut(F).
The Brown-Peterson homology and nilpotence of the infinite special orthogonal group.
Dung Yung Yan (1995)
Mathematische Zeitschrift
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Miller spaces and spherical resolvability of finite complexes
Jeffrey Strom (2003)
Fundamenta Mathematicae
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Let 𝒜 be a fixed collection of spaces, and suppose K is a nilpotent space that can be built from spaces in 𝒜 by a succession of cofiber sequences. We show that, under mild conditions on the collection 𝒜, it is possible to construct K from spaces in 𝒜 using, instead, homotopy (inverse) limits and extensions by fibrations. One consequence is that if K is a nilpotent finite complex, then ΩK can be built from finite wedges of spheres using homotopy limits and extensions by fibrations....
Genus and symmetry in homotopy theory.
Joseph Roitberg (1996)
Mathematische Annalen
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Sur l'homotopie rationnelle des espaces fonctionnelles.
Micheline Vigué-Poirrier (1986)
Manuscripta mathematica
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Localization of epimorphisms and monomorphisms in homotopy theory
Lin Hong, Wenhuai Shen (1994)
Compositio Mathematica
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Minimal models for non-nilpotent spaces.
W. Meier (1980)
Commentarii mathematici Helvetici
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On Postnikov pieces of finite dimension.
Carles Casacuberta (1998)
Collectanea Mathematica
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Nilpotent complex structures.
Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)
RACSAM
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Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.