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Euler characteristic formulas for simplicial maps

Published online by Cambridge University Press:  26 March 2001

J. J. NUÑO BALLESTEROS  and
OSAMU SAEKI
J. J. NUÑO BALLESTEROS
Affiliation:
Departament de Geometria i Topologia, Universitat de València, Campus de Burjassot, 46100 Burjassot, Spain; e-mail: nuno@uv.es
OSAMU SAEKI
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan; e-mail: saeki@math.sci.hiroshima-u.ac.jp
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 307 - 331
Copyright
2001 Cambridge Philosophical Society

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