2 citations · 4 across the 4 of their papers we have counts for
6 papers
On Steenrod -homology, generalized manifolds, and surgery
Friedrich Hegenbarth, Dušan Repovš
The aim of this paper is to show the importance of the Steenrod construction of homology theories for the disassembly process in surgery on a generalized -manifold , in ord…
Controlled surgery and -homology
Friedrich Hegenbarth, Dušan Repovš
This paper presents an alternative approach to controlled surgery obstructions. The obstruction for a degree one normal map with control map $q: X^n \r…
The relationship of generalized manifolds to Poincaré duality complexes and topological manifolds
Friedrich Hegenbarth, Dušan Repovš
The primary purpose of this paper concerns the relation of (compact) generalized manifolds to finite Poincaré duality complexes (PD complexes). The problem is that an arbitrary gen…
Browder-Livesay filtrations and the example of Cappell and Shaneson
Friedrich Hegenbarth, Yuri V. Muranov, Dušan Repovš
Let be a 3-dimensional manifold with fundamental group which contains a quaternion subgroup of order 8. In 1979 Cappell and Shaneson constructed a nontrivial nor…
Some recent approaches in 4-dimensional surgery theory
Friedrich Hegenbarth, Dušan Repovš
It is well-known that an n-dimensional Poincaré complex , , has the homotopy type of a compact topological -manifold if the total surgery obstruction vani…
Applications of controlled surgery in dimension 4: Examples
Friedrich Hegenbarth, Dušan Repovš
The validity of Freedman's disk theorem is known to depend only on the fundamental group. It was conjectured that it fails for nonabelian free fundamental groups. If this were true…