-
Solomon Lefschetz ForMemRS (Russian: Соломо́н Ле́фшец; 3
September 1884 – 5
October 1972) was a Russian-born
American mathematician who did fundamental...
- In mathematics,
Lefschetz duality is a
version of Poincaré
duality in
geometric topology,
applying to a
manifold with boundary. Such a
formulation was...
- In mathematics, the
Lefschetz fixed-point
theorem is a
formula that
counts the
fixed points of a
continuous mapping from a
compact topological space X...
- mathematics,
specifically in
algebraic geometry and
algebraic topology, the
Lefschetz hyperplane theorem is a
precise statement of
certain relations between...
- In mathematics, a
Lefschetz pencil is a
construction in
algebraic geometry considered by
Solomon Lefschetz, used to
analyse the
algebraic topology of an...
- In mathematics, Picard–
Lefschetz theory studies the
topology of a
complex manifold by
looking at the
critical points of a
holomorphic function on the...
- the
function field. In the
twentieth century, the
Lefschetz principle,
named for
Solomon Lefschetz, was
cited in
algebraic geometry to
justify the use...
-
algebraic topology,
using the
Lefschetz fixed-point theorem.
Since the
Betti numbers of a 2-sphere are 1, 0, 1, 0, 0, ... the
Lefschetz number (total
trace on...
-
Grothendieck trace formula is an
analogue in
algebraic geometry of the
Lefschetz fixed-point
theorem in
algebraic topology. One
application of the Grothendieck...
- In mathematics, the
Lefschetz zeta-function is a tool used in
topological periodic and
fixed point theory, and
dynamical systems.
Given a
continuous map...
