11. The relationship of generalized manifolds to Poincaré duality complexes and topological manifoldsFriedrich Hegenbarth, Dušan Repovš, 2018, original scientific article Keywords: generalized manifold, Poincaré duality complex, ENR, 2-patch space, resolution obstruction, controlled surgery, controlled structure set, Lq-surgery, Wall obstruction, cell-like map, Gromov-Hausdorff metric Full text (file, 651,44 KB) |
12. Simply connected 3-manifolds with a dense set of ends of specified genusDennis Garity, Dušan Repovš, 2017, original scientific article Keywords: 3-manifold set, wild Cantor set, local genus, defining sequence, exhaustion, end Full text (file, 739,97 KB) |
13. On the Alexandroff-Borsuk problemMatija Cencelj, Umed H. Karimov, Dušan Repovš, 2017, original scientific article 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 Problem Full text (file, 563,72 KB) |
14. A new class of homology and cohomology 3-manifoldsDennis Garity, Umed H. Karimov, Dušan Repovš, Fulvia Spaggiari, 2016, original scientific article Keywords: cohomology 3-manifold, cohomological dimension, Borel-Moore homology, Čech cohomology, Milnor-Harlap exact sequence, lens space, ANR Full text (file, 264,52 KB) |
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16. The geometry and fundamental groups of solenoid complementsGregory R. Conner, Mark H. Meilstrup, Dušan Repovš, 2015, original scientific article Keywords: solenoid, 3-manifold, inverse limit, embedding, fundamental group, knot complement, braid, Jaco-Shalen-Johannson decomposition, Mostow-Prasad rigidity Full text (file, 3,95 MB) |
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19. On nonlinear Schrödinger equations on the hyperbolic spaceMatija Cencelj, István Faragó, Róbert Horváth, Dušan Repovš, 2020, original scientific article Keywords: Schrödinger equation, Poincaré ball model, Palais principle, Laplace-Beltrami operator, Hadamard manifold, Kirchhoff-type problem Full text (file, 638,32 KB) |
20. Topics in complex approximation theoryBrett Simon Chenoweth, 2020, doctoral dissertation Keywords: Stein manifold, Oka manifold, holomorphic map, Carleman approximation, bounded exhaustion hulls, minimal surface, directed holomorphic curve Full text (file, 1,13 MB) |