Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential

Petr E. Pushkar

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arXiv · 1912.06437

Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential

Petr E. Pushkar

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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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BibTeX RIS

Petr E. Pushkar. 2019-12-13. Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential. https://arxiv.org/abs/1912.06437

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