Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Theorem of the AverageExplores the Theorem of the Average, integrability criteria, properties of the integral, and volume concepts.
Centrality and HubsExplores centrality, hubs, eigenvectors, clustering coefficients, small-world networks, network failures, and percolation theory in brain networks.
Vector Fields AnalysisExplores vector fields analysis, covering curvilinear integrals, potential fields, and field connectivity conditions.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
