An algebraic model for homotopy fibers.
An approach to shape covering maps.
In this note we give an approach to shape covering maps which is comparable to that of *-fibrations (Mardesic and Rushing (1978)). The introduced notion conserves some important properties of usual covering maps.
An Arithmetic Characterization of the Rational Homotopy Groups of Certain Spaces.
An exact sequence from the nth to the (n-1)-st fundamental group
An example concerning the Whitehead Theorem in shape theory
An example of a fiber in fibrations whose Serre spectral sequences collapse
We give an example of a space with the property that every orientable fibration with the fiber is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of of negative degree.
An extension and axiomatic characterization of Borsuk's theory of shape
An extension of Miller's version of the de Rham Theorem with any coefficients
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
An infinite-dimensional torsion-free FP...group.
An intrinsic characterization of the shape of paracompacta by means of non-continuous single-valued maps.
An introduction to shape theory for the nonspecialist
An inverse -theory functor.
An. isomorphism theorem of the Hurewicz-type in Borsuk's theory of shape
An R-stable ANR which is not FR-stable
Anneaux locaux et espaces de lacets à séries de Poincaré irrationnelles
Any equivalence relation over a category is a simplicial
Applications de la théorie d'obstruction en dimension 3
Applications of Peiffer pairings in the Moore complex of a simplicial group.
Applications of unstable normal invariants. Part I
Approximate polyhedra, resolutions of maps and shape fibrations