We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect ...

We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect ...

In this paper we investigate the Cl versions of contact and right equivalences of real semi-quasihomogeneous Cl function germs, 1 ≤ l ≤ ∞. The Cl-right equivalence implies Cl-contact equivalence for any 1≤ l ≤ ∞ and in ...

In this paper we investigate the C ` versions of contact and right equivalences of real semi-quasihomogeneous C ` function germs, 1 ≤ ` ≤ ∞. The C ` -right equivalence implies C ` -contact equivalence for any 1 ≤ ` ≤ ∞ and ...

We provide new estimates on the degree of Cl-G-determinacy (G is one of Mather’s groups R, C, or K) of weighted homogeneous map germs satisfying a convenient Lojasiewicz condition. The results give an explicit order such ...

Although there are almost thirty-thousand species of fish living in a great variety of habitats and utilizing vast reproductive strategies, our knowledge of morphofunctional and quantitative aspects of testis structure and ...

Although there are almost thirty-thousand species of fish living in a great variety of habitats and utilizing vast reproductive strategies, our knowledge of morphofunctional and quantitative aspects of testis structure and ...

In this paper we investigate the 'C POT.L' versions of contact and right equivalences of real semi-quasihomogeneous 'C POT.L' function germs, 1 ≤ l ≤ ∞. The 'C POT.L'-right equivalence implies 'C POT.L'-contact equivalence ...