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math.AT2025
On geometric representation of -homology classes
Friedrich Hegenbarth, Dušan D. Repovš
In this chapter we give a geometric representation of classes, where is the -periodic surgery spectrum, by establishing a relationship between…
math.AT2020★ 2 cited
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…
math.AT2013★ 2 cited
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…