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Let G be a finite group, $𝕆_{G}$ the category of canonical orbits of G and $A : 𝕆_{G} \to 𝔸$ b 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 dim X < 2n - 1. If dim X = 2n-1, then the set of comultiplications of X is in one-one correspondence with $E x t^{n - 1} (A, A \otimes A)$ . Then the case $G = ℤ_{p^{k}}$ leads to an example of infinitely...

Commutative ring-spectra of characteristic 2.

Urs Würgler (1986)

Commentarii mathematici Helvetici

Comultiplications of the Wedge of Two Moore Spaces

Marek Golasiński, Daciberg Gonçalves (1998)

Colloquium Mathematicae

Configuration-Spaces and Iterated Loop-Spaces.

Graeme Segal (1973)

Inventiones mathematicae

Eine Anwendung der K-Theorie in der Theorie der H-Räume

Francois Sigrist, Ulrich Suter (1972)

Commentarii mathematici Helvetici

Errata to the paper "On shape" Fundamenta Mathematicae 74 (1972), pp. 47-71

Ralph Fox (1972)

Fundamenta Mathematicae

Evaluating a p-th order cohomology operation.

J. Harper, A. Zabrodsky (1988)

Publicacions Matemàtiques

A certain p-th order cup product is detected by a p-th order cohomology operation. The result is applied to finite H-spaces, to show that several properties of compact Lie groups do not hold for arbitrary torsion free finite H-spaces.

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A Coclassifying Map for the Inclusion of the Wedge in the Product.

A Cohomological Proof of the Torus Theorem.

A Filtration of the Loops on SU (N) by Schubert Varieties.

A Modified Dold-Lashof Construction that Does Classify H-Principal Fibrations.

A new look at means on topological spaces.

A propos de conjectures de Serre et Sullivan.

Cancellation Properties of H-Spaces

Co-H-estructuras sobre la unión puntual de dos Co-H-espacios.

Co-H-structures on equivariant Moore spaces

Commutative ring-spectra of characteristic 2.

Comultiplications of the Wedge of Two Moore Spaces

Configuration-Spaces and Iterated Loop-Spaces.

Eine Anwendung der K-Theorie in der Theorie der H-Räume

Errata to the paper "On shape" Fundamenta Mathematicae 74 (1972), pp. 47-71

Evaluating a p-th order cohomology operation.

Evaluation subgroups and G-sequences

Even generators in the Mod 2 cohomology of a finite H-space.

Fiber maps on H-fibrations

Finiteness properties of self-equivalence.

Groups with cyclic Sylow subgroups and finiteness conditions for certain complexes.

Currently displaying 1 – 20 of 80