5925
The first application was a complete definition of the intersection multiplicity , and , in particular , a statement of Bézout 's theorem that asserts that the sum of the multiplicities of the intersection points of algebraic hypersurfaces in a - dimensional projective space is either infinite or is " exactly " the product of the degrees of the hypersurfaces .
 person: Bézout
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 person: Bézout