Size Functions from a Categorical Viewpoint
- Cite this article as:
- Cagliari, F., Ferri, M. & Pozzi, P. Acta Applicandae Mathematicae (2001) 67: 225. doi:10.1023/A:1011923819754
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A new categorical approach to size functions is given. Using this point of view, it is shown that size functions of a Morse map, f: M→ℜ can be computed through the 0-dimensional homology. This result is extended to the homology of arbitrary degree in order to obtain new invariants of the shape of the graph of the given map.