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 example of an asymptotically Chow unstable manifold with constant scalar curvature
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group is discrete, is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case where is not discrete.
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 homotopy formula for the Hochschild cohomology
An indecomposable -complex. II.
An index and a Nielsen number for n-valued multifunctions
An infinitary version of Sperner's Lemma
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
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 form intersection homology to Lp-cohomology.
An isomorphism theorem of Hurewicz type in the proper homotopy category
An. isomorphism theorem of the Hurewicz-type in Borsuk's theory of shape
An Obstruction to the Existence of Affine Structures.
An R-stable ANR which is not FR-stable
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
Analytische Erweiterungen von Produkträumen.