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 ...

Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set ...

A linear system of di erence equations and a nonlinear perturbation are considered, we obtain su cient conditions to ensure the topological equivalence between them, namely, the linear part satis es a property of ...

We obtain sufficient conditions ensuring the topological and strong topological equivalence of two perturbed difference systems whose linear part has a property of generalized exponential dichotomy. When the exponential ...

In this work, we investigate the classification of Morse-Bott functions from S-2 to S-1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f : S-2 -> S-1. The invariant ...

Let p(k) (n, 2) be the set of all real polynornial map germs f = (f(1), f(2)) : (R(n), 0) -> (R(2), 0) with degree of f(1), f(2) <= k. The main result of this paper shows that the set of equivalence classes of p(k) (n, 2), ...

Let Pk (n, 2) be the set of all real polynomial map germs f = (f1, f2): (Rn, 0) → (R2, 0) with degree of f1, f2 ≤ k. The main result of this paper shows that the set of equivalence classes of Pk (n, 2), with respect to ...

Let p(k) (n, 2) be the set of all real polynornial map germs f = (f(1), f(2)) : (R(n), 0) -> (R(2), 0) with degree of f(1), f(2) <= k. The main result of this paper shows that the set of equivalence classes of p(k) (n, 2), ...