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Anwendungsbeispiele Englisch
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- In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary.
- This conjecture implies the Lefschetz conjecture.
- Lefschetz's support was very important to Peixoto at the time.
- Because of its definition in terms of the fixed-point index, the Nielsen number is closely related to the Lefschetz number.
- Since the quantity on the left-hand side of the above is clearly zero when "f" has no fixed points, the Lefschetz–Hopf theorem trivially implies the Lefschetz fixed-point theorem.
- Deligne was born in Etterbeek, attended school at Athénée Adolphe Max and studied at the Université libre de Bruxelles (ULB), writing a dissertation titled "Théorème de Lefschetz et critères de dégénérescence de suites spectrales" (Theorem of Lefschetz and criteria of degeneration of spectral sequences).
- The results include the Lefschetz hyperplane theorem, the hard Lefschetz theorem, and the Hodge-Riemann bilinear relations.
- With Bott, Atiyah found an analogue of the Lefschetz fixed-point formula for elliptic operators, giving the Lefschetz number of an endomorphism of an elliptic complex in terms of a sum over the fixed points of the endomorphism.
- One of the leading groups in dynamical systems and control theory, the Lefschetz Center for Dynamical Systems,[...] was a spinoff from RIAS.
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