### Abstract

In this paper, various Euler characteristic formulas for simplicial maps are obtained, which generalize the Izumiya-Marar formula [14], the Banchoff triple point formula [3] and the formula due to Szücs for maps of surfaces into 3-space [27]. Moreover, we obtain new results about the Euler characteristics of the multiple point sets and the images of generic smooth maps and the numbers of their singularities.

Original language | English |
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Pages (from-to) | 307-331 |

Number of pages | 25 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 130 |

Issue number | 2 |

DOIs | |

Publication status | Published - Mar 2001 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Nuño Ballesteros, J. J., & Saeki, O. (2001). Euler characteristic formulas for simplicial maps.

*Mathematical Proceedings of the Cambridge Philosophical Society*,*130*(2), 307-331. https://doi.org/10.1017/S0305004100004928