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Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential (1912.06437v2)
Published 13 Dec 2019 in math.GT
Abstract: Main subject of the paper is a (strong) Morse function on a compact manifold with boundary. We construct a cellular structure and discuss its algebraic properties in this paper. Also we get an estimation on Arnold's question on a number of critical points of a Morse function with given boundary condition.
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