T. Macko

collaborators

2 papers

math.AT2026

On smooth and bundle structures on topological manifolds homotopy equivalent to $S^{4 k - 1}$ -bundles over $S^{4 k}$

Tibor Macko, Ajay Raj

We first verify the expected calculations of the topological structure set, in the sense of surgery theory, for the total spaces of $S^{4 k - 1}$ -bundles over $S^{4 k}$ for $k \geq 3$ , in…

math.AT2026

Universal Assembly and Cellular Loop Spaces on Regular CW Complexes

Serhii Dylda, Tibor Macko

We develop a regular CW analogue of the classical assembly formalism for chain complexes appearing in algebraic surgery theory. From the cell poset, we construct combinatorial path…

On smooth and bundle structures on topological manifolds homotopy equivalent to S4k−1-bundles over S4k

Universal Assembly and Cellular Loop Spaces on Regular CW Complexes

On smooth and bundle structures on topological manifolds homotopy equivalent to $S^{4 k - 1}$ -bundles over $S^{4 k}$