The division theorem for smooth functions
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University of Pretoria
Abstract
We discuss Lojasiewicz's beautiful proof of the division theorem for smooth functions. The standard proofs are based on the Weierstrass preparation theorem for analytic functions and use techniques from the theory of partial differential equations. Lojasiewicz's approach is more geometric and syn¬thetic. In the appendices appear new proofs of results which are required for the theorem.
Description
Dissertation (MSc (Mathematics))--University of Pretoria, 2006.
Keywords
Differential equations partial, Analytic functions, Commutative algebra, Smoothness of functions, UCTD
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Citation
De Wet, PO 2002, The division theorem for smooth functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26530 >