Bi-H"older invariants in o-minimal structures

An V. Q. Huynh, Minh B. Nguyen, Nhan X. V. Nguyen +1

We prove that for any two definable germs in a polynomially bounded o-minimal structure, there exists a critical threshold $\hat{I}{\pm }_0\in (0,1)$ such that if these germs are bi-$\hat{I}\pm$-H"o…