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Concept
Morse Theory
Morse theory
is a
mathematical framework
in
differential topology
that analyzes the
topology of manifolds
by studying
differentiable functions
on them, particularly focusing on the
critical points
of these functions. It provides a
powerful tool
for understanding the
structure of manifolds
by correlating
changes in topology
with the
critical points
of
smooth functions
, revealing important insights into the
manifold's geometry
and topology.
Relevant Fields:
Geometry 100%
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