Keywords: ANR, finite polyhedron, homotopy equivalence, ▫$\varepsilon$▫-map, cellular map, almost-smooth manifold, ▫$|E_8|$▫-manifold, Kirby-Siebenmann class, Galewski-Stern obstruction, non-triangulable manifold, Alexandroff-Borsuk Manifold ProblemFull text (file, 563,72 KB)
Keywords: s-cobordism, 4-manifold, cohomological dimension, homotopy self-equivalenceFull text (file, 634,43 KB)
Keywords: computational topology, homotopy reconstruction, Vietoris-Rips complex, selective Rips complex, Riemannian manifold, nerve theorem, geodesic spaceFull text (file, 1,17 MB)
Keywords: Gromov-Hausdorff metric, Gromov topological moduli space, manifold-like generalized manifold, absolute neighborhood retract, cell-like map, $\delta$-map, structure map, controlled surgery sequence, $\varepsilon$-homotopy, 2-patch space, $\varepsilon$-homotopy equivalence, periodic surgery spectrum $\mathbb{L}$Full text (file, 466,14 KB) This document has more files! More...