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If f:G → H is a group homomorphism and p,q are the projections from the free product G*H onto its factors G and H respectively, let the group $_{f} \subseteq G * H$ be the equalizer of fp and q:G*H → H. Then p restricts to an epimorphism $p_{f} {= p |}_{f} :_{f} \to G$ . A right inverse (section) $G \to_{f}$ of $p_{f}$ is called a coaction on G. In this paper we study $_{f}$ and the sections of $p_{f}$ . We consider the following topics: the structure of $_{f}$ as a free product, the restrictions on G resulting from the existence of a coaction, maps of coactions and the resulting...

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A note on exactness and stability in homotopical algebra.

A note on Kieboom's pullback theorem for cofibrations

A Pullback theorem for cofibrations.

A Pullback Theorem for Locally-Equiconnected Spaces.

Chain homotopy pullbacks and pushouts

Cofibrations and bicofibrations for C*-algebras.

Commuting Homotopy Limits.

Contractibility and a generalization of absolute extensor

Diagonal fibrations are pointwise fibrations.

Ein elementarer Zugang zur Leray-Schauder-Theorie

Equalizers and coactions of groups

Equiconnectivity and Cofibrations I.

Exact sequences of spaces - II

Fibrations and Cofibred Pairs.

Functors between homotopy theories

Generalized homotopy theory.

Groupoid Operations and Fibre-Homotopy Equivalence. I.

Homotopy Limits and Colimits.

Homotopy theory induced by cones.

L’espace classifiant de la $K$ -théorie algébrique

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