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Heaps and unpointed stable homotopy theory

Lukáš Vokřínek (2014)

Archivum Mathematicum

In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.

Hecke structure on Bredon cohomology

Jolanta Słomińska (1991)

Fundamenta Mathematicae

We construct a Hecke structure on equivariant Bredon cohomology with local coefficients and then describe some of its properties. We compare this structure with the Mackey structure defined by T. tom Dieck and with the Illman transfer.

H-espacios finitos no simplemente conexos.

José Félix Sáenz Lorenzo (1981)

Revista Matemática Hispanoamericana

Utilizando la técnica de mezclar grupos de homotopía introducida por Zabrodsky [10], obtenemos aquí nuevos H-espacios finitos no simplemente conexos, cuyos más conocidos ejemplos son los que tienen por cubrimiento universal los H-espacios de rango 2 y tipo (3,7) generalmente denotados como Ekω.

Higher monodromy.

Polesello, Pietro, Waschkies, Ingo (2005)

Homology, Homotopy and Applications

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