Liftings of compact sets of mappings through a light proper mapping are compact
Maps and Equivalences into Equalizing Fibrations and from Coequalizing Cofibrations.
Mayer-Vietoris Prinzip für Cofaserungen.
Module d'holonomie d'une fibration
Non functorial cylinders in a model category
Taking cylinder objects, as defined in a model category, we consider a cylinder construction in a cofibration category, which provides a reformulation of relative homotopy in the sense of Baues. Although this cylinder is not a functor we show that it verifies a list of properties which are very closed to those of an I-category (or category with a natural cylinder functor). Considering these new properties, we also give an alternative description of Baues’ relative homotopy groupoids.
Note on normal sequences of chain complexes
On a theorem on the change of base point in a path connected space
On generalizations of Borsuk's homotopy extension theorem
On the Homotopy Properties of Thom Complexes.
On the Homotopy Type of Classifying Spaces.
On the shape of MAR and MANR-spaces
Periodische Homöomorhismen Seifertscher Faserräume.
Section and Base-Point Functors.
Several characterizations of SSDR-maps
Stratified model categories
The fourth axiom of a model category states that given a commutative square of maps, say i: A → B, g: B → Y, f: A → X, and p: X → Y such that gi = pf, if i is a cofibration, p a fibration and either i or p is a weak equivalence, then a lifting (i.e. a map h: B → X such that ph = g and hi = f) exists. We show that for many model categories the two conditions that either i or p above is a weak equivalence can be embedded in an infinite number of conditions which imply the existence of a lifting (roughly,...
Subopen multifunctions and selections
The Borsuk homotopy extension theorem without the binormality condition
The closure of a model category
The Suspension of the Loops on a Space with Comultiplication.
Total cofibres of diagrams of spectra.