### 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 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Mathematical Proceedings of the Cambridge Philosophical Society*,

*130*(2), 307-331. https://doi.org/10.1017/S0305004100004928

**Euler characteristic formulas for simplicial maps.** / Nuño Ballesteros, J. J.; Saeki, Osamu.

Research output: Contribution to journal › Article

*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 130, no. 2, pp. 307-331. https://doi.org/10.1017/S0305004100004928

}

TY - JOUR

T1 - Euler characteristic formulas for simplicial maps

AU - Nuño Ballesteros, J. J.

AU - Saeki, Osamu

PY - 2001/3

Y1 - 2001/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33746837384&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746837384&partnerID=8YFLogxK

U2 - 10.1017/S0305004100004928

DO - 10.1017/S0305004100004928

M3 - Article

AN - SCOPUS:33746837384

VL - 130

SP - 307

EP - 331

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -