Subanalytic version of Whitney's extension theorem
Volume 124 / 1997
                    
                    
                        Studia Mathematica 124 (1997), 269-280                    
                                        
                        DOI: 10.4064/sm-124-3-269-280                    
                                    
                                                Abstract
For any subanalytic $C^k$-Whitney field (k finite), we construct its subanalytic $C^k$-extension to $ℝ^n$. Our method also applies to other o-minimal structures; e.g., to semialgebraic Whitney fields.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            