Euler characteristic formulas for simplicial maps

J. J. Nuño Ballesteros; Osamu Saeki

doi:10.1017/S0305004100004928

Euler characteristic formulas for simplicial maps

J. J. Nuño Ballesteros, Osamu Saeki

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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
Pages (from-to)	307-331
Number of pages	25
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	130
Issue number	2
DOIs	https://doi.org/10.1017/S0305004100004928
Publication status	Published - Mar 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0305004100004928

Cite this

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title = "Euler characteristic formulas for simplicial maps",

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 Sz{\"u}cs 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.",

author = "{Nu{\~n}o Ballesteros}, {J. J.} and Osamu Saeki",

year = "2001",

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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.

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ER -

Euler characteristic formulas for simplicial maps

Abstract

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