Nil-Localization of Unstable Algebras over the Steenrod Algebra.
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C. Broto, S. Zarati (1988)
Mathematische Zeitschrift
Maxence Cuvilliez, Aniceto Murillo, Antonio Viruel (2011)
Annales de l’institut Fourier
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.
Sadayoshi Kojima (1983)
Commentarii mathematici Helvetici
F. J. Korkes, T. Porter (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Natàlia Castellana, Juan Crespo, Jérôme Scherer (2011)
Journal of the European Mathematical Society
The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact group...
Neeman, Amnon, Ranicki, Andrew (2004)
Geometry & Topology
Aristide Deleanu, Peter Hilton (1978)
Czechoslovak Mathematical Journal
Flores , Ramón J. (2005)
Algebraic & Geometric Topology
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