منابع مشابه
Decompositions of Looped Co-h-spaces
We prove two homotopy decomposition theorems for the loops on simply-connected co-H-spaces, including a generalization of the Hilton-Milnor Theorem. Several examples are given.
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Let G be a finite group, OG the category of canonical orbits of G and A : OG → Ab a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A, n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dimX < 2n − 1. If dimX = 2n − 1, then the set of...
متن کاملOn Certain Co–h Spaces Related to Moore Spaces
We show that certain co–H spaces, constructed by Anick and Gray, carry a homotopy co–associative and co–commutative co–H structure.
متن کاملDecompositions of Looped Co-h-spaces and Applications
We prove two homotopy decomposition theorems for the loops on co-H-spaces, including a generalization of the Hilton-Milnor Theorem. These are applied to problems arising in algebra, representation theory, toric topology, and the study of quasi-symmetric functions.
متن کاملFinite Spaces and Quillen’s Conjecture
We introduce finite spaces and explain their relations to sets with reflexive and transitive relations and to simplicial complexes. We introduce Quillen’s conjecture: If Ap(G) is weakly contractible then G has a nontrivial normal p-subgroup. We use Quillen’s method to show this is true for solvable groups.
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ژورنال
عنوان ژورنال: Topology
سال: 2001
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(99)00052-x