Interior distance of two points in a fiber of a subanalytic map

• Autorzy: Kocel-Cynk B.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to prove the following theorem: Let N and M be two analytic manifolds and let K [is subset of] N be a compact subanalytic subset. For any continuous subanalytic map f : K --> M there exists a constant C > 0 such that for any y [belongs to] f(K) and any two points p, q in the same connected component of the fiber [f^-1](y) there exists a subanaiytic curve joining p and q in [f^-1](y) of length less than C.

Słowa kluczowe

EN

cell decomposition; o-minimal structure; subanalytic map; subanalytic set

PL

o-minimalna struktura; odwzorowanie subanalityczne; zbiór subanalityczny

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 2
• Strony: 149--155
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Kocel-Cynk B.

• Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland