On the Alexandroff-Borsuk problemCencelj, Matija (Avtor) Karimov, Umed H. (Avtor) Repovš, Dušan (Avtor) ANRfinite polyhedronhomotopy equivalence▫$\varepsilon$▫-mapcellular mapalmost-smooth manifold▫$|E_8|$▫-manifoldKirby-Siebenmann classGalewski-Stern obstructionnon-triangulable manifoldAlexandroff-Borsuk Manifold ProblemWe investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an ▫$n$▫-dimensional compact non-triangulable manifold ▫$M^n$▫ and ▫$\varepsilon > 0$▫, does there exist an ▫$\varepsilon$▫-map of ▫$M^n$▫ onto an ▫$n$▫-dimensional finite polyhedron which induces a homotopy equivalence?20172019-09-05 12:50:06Članek v reviji109543sl