ACTA issues

## On $\omega$-limit sets in codimension two subspaces

Gerd Herzog

Acta Sci. Math. (Szeged) 67:1-2(2001), 197-201
2780/2009

 Abstract. We prove that each closed and connected set $C \subseteq{\msbm R}^n$ is congruent to the $\omega$-limit set of a solution $x\colon[0,\infty ) \to{\msbm R}^{n+2}$ of $x'=f(x)$ for some bounded $f\in C^\infty({\msbm R}^{n+2},{\msbm R}^{n+2})$. AMS Subject Classification (1991): 34C35, 34D45 Received June 8, 2000, and in revised form December 8, 2000. (Registered under 2780/2009.)