In this paper, various Euler characteristic formulas for simplicial maps are obtained, which generalize the Izumiya-Marar formula , the Banchoff triple point formula  and the formula due to Szücs for maps of surfaces into 3-space . 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.
|Number of pages||25|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - Mar 2001|
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