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Lusternik-Schnirelmann category is a subject which cuts across the boundary
between algebraic topology and dynamical systems. The basic connection
between homotopy and dynamics is the LS Theorem that says that the number
of critical points of any smooth function on a manifold M is at least as
big as the (homotopy invariant) category plus one. Since the time when L and S
proved this result, category has expanded enormously in its depth and in its
applicability. New applications to symplectic geometry provide even a stronger
impetus for studying LS category. The book treats an extensive variety of
the many aspects of category from its birth to the present day.
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