Homeomorphic neighborhoods in -manifolds
Homologie de Steenrod-Sitnikov et limite homotopique algebrique.
Homology functors on shape categories
Homotopy characterization of weakly flat knots
Homotopy dominations within polyhedra
We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.
Homotopy equivalences and mapping torus projections
Homotopy preserving functors
Homotopy properties of decomposition spaces
Hyperspaces where convergence to a calm limit implies eventual shape equivalence