Topology
Research lines:
- Algebraic invariants for homotopy and concordance of links
- Analytic, Whitehead and Reidemeister torsions for manifolds and for singular manifolds
- Applications of game theory to general topology
- Bordism, equivariant bordism and cobordism of manifolds
- Borsuk-Ulam type theorems
- Cellular decomposition and group resolutions
- Classification of group actions on manifolds and associated dynamical systems
- Fibrations, vector bundles and gauge theory
- Foliations
- Geometry and topology of submanifolds in euclidean spaces and of surfaces in homogeneous manifolds
- Homotopy and simple homotopy theory
- Homotopy and topology of mapping spaces
- Immersions and embeddings between manifolds
- Knots, links and braid theories
- Properties of coverings; techniques to obtain weaker topologies; theory of games
- Root, fixed point, coincidence and G-coincidence theories
- Topology of manifolds
Topology Laboratory
Members
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