Finiteness theorem for multi‐K‐bi‐Lipschitz equivalence of map germs. Issue 16 (27th June 2018)

• Record Type: Journal Article
• Authors: Birbrair, Lev; Ferreira Costa, João Carlos; Da Silva Sena Filho, Edvalter; Mendes, Rodrigo
• Is Part Of: Mathematische Nachrichten. Volume 291:Issue 16(2018)
• Page Start: 2381
• Page End: 2387
• Publication Date: 2018-06-27
• Subjects: bi‐Lipschitz contact equivalence -- finiteness theorem -- Lipschitz classification -- 32S05 -- 32S15; Mathematics -- Periodicals; 510.5
• DOI: 10.1002/mana.201700243
• Languages: English
• ISSNs: 0025-584X

Abstract

Abstract: Let P k ( n, p ) be the set of all real polynomial map germs f = ( f 1, ⋯, f p ) : ( R n, 0 ) → ( R p, 0 ) with degree of f 1, ⋯, f p less than or equal to k ∈ N . The main result of this paper shows that the set of equivalence classes of P k ( n, p ), with respect to multi‐ K ‐bi‐Lipschitz equivalence, is finite.