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Research interest(Topology, Dynamical systems) ・Foliations ・Codimension 1,2 dynamical systems (i.e. surface flows, surface homeomorphisms, and flows on 3-manifolds) ・Partially Cyclic Ordered Tree (COT) representations of 2D flows ・Topological flow data analysis (TFDA) ・Topological invariants of flows on topological spaces |
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Keywords ・Codimension 1,2 foliations and dynamical systems (class space, T_0 space, almost periodicity, R-closedness, recurrence, nonwandering property, poset) ・Flows on surfaces (COT representations,structural stability, Poincare-Bendixson theorem, characterizations of limit sets) ・Generalizations of Morse graphs of flows, Reeb graphs of 2D Hamiltonian flows, and CW decompositions of Morse-Smale flows |
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