| Toward a Crlmbinatorial Proof of the Jacobian Conjecture? (2009) | |||||||||||||
Abstract | |||||||||||||
| Dominique Foata taught us how to do algebra and special functions com-binatorially. Now ~ndr; Joyal and his diciples teach us how to do calculus combinatorially. The first part of this paper will describe a new approach to combinatorial calculus which was highly inspired by the Qugbec philosophy and that correspond essentially to ~oyal'i linear species. However there is a slight conceptual twist in that in my approach the coefficents are ind.eter-minates while in the Qugbec approach they count things. Intuitively a function is just a line of dots. Informally, introduce the infinite set 3 n dots | |||||||||||||
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