3 papers
math.AT2022
Homology of weighted path complexes and directed hypergraphs
Y. Muranov, A. Szczepkowska, V. Vershinin
We introduce the weighted path homology on the category of weigh\-ted directed hypergraphs and describe conditions of homotopy invariance of weighted path homology groups. We give…
math.AT2009
On structure sets of manifold pairs
Matija Cencelj, Yurij V. Muranov, Dušan Repovš
In this paper we systematically describe relations between various structure sets which arise naturally for pairs of compact topological manifolds with boundary. Our consideration…
math.GT2008
Surgery in codimension 3 and the Browder--Livesay invariants
Friedrich Hegenbarth, Yurij V. Muranov, Dušan Repovš
The inertia subgroup of a surgery obstruction group is generated by elements which act trivially on the set of homotopy triangulations $\Cal S(X)$ for some closed…