Michal FE6KAN (Mathematical Institute of the Slovak Academy of Sciences, Czechoslovakia)
1. Introduction In this paper we try to find several theorems similar to the so-called shadowing lemma [1] if we break an assumption of hyperbolicity. Let us -diffeomorphism , which has a compact invariant nonconsider a empty set $M$ . We assume that is hyperbolic on $M$ , i.e. there is a continuous splitting $R^{m}/M=E_{s}¥oplus E_{u}$ and a constant $0
