华沙圈上连续映射的某些动力性质.pdfVIP

E39E3m a a Vol.39, No. 3 1996d5 ACTA MATHEMATICA SINICA May, 1996 HGIBOTJEMANY
v (abbBp 510631) fpx (sbbbBb 230026) V Q: wo eb bgkeo b ljb Sarkovskii ezdrbZqnd rbZc drbZb!ia 4, s#$ b% u(bdbh 2 bm o g Sarkovskii yt!i 1 SP t (Warsaw circle) W i R2 mCgz W0 = {(x, y) ∈ R2 | x = 0, −1 ≤ y ≤ 1}, W1 = {(x, y) ∈ R2 | x = 0, −3 ≤ y −1}, W2 = {(x, y) ∈ R2 | 0 ≤ x ≤ 1, y = −3}, W3 = {(x, y) ∈ R2 | x = 1, −3 ≤ y ≤ 0}, 2π W4 = {(x, y) ∈ R2 | 0 x ≤ 1, y = sin }. x ot W hgjVISjVP EbkcfiwEESt [1] t (circle-like) Y (arc-like) EHUYF . rVKqt EuMAVS ptxISEuMAVx hQXotEunznl F mhgiZEz (E), YVISEu b [2,3] . XtEuxISEuJhgYn DbkuISEulStEuxhQISEu xMAVKt Sarkovskii KlFxqF KA SlFmjMenlFlP 2 ZA 1994 e 4 5 szb GM 3m XB uFvRNBW 295 tISrYVSRSbtWhgE unSR 4. XbVSRglV ly X Sarkovskii K Sarkovskii (LC). Sarkovskii 1964 cIS Sarkovskii (CK B) 1989 c Minc x Transue [4] Sarkovskii kcE . StXD hgE Sarkovskii yujVgUd Sarkovskii hgT 2 U f : X → X Eun X ju f lFqFzF ω- HFm f SxSRAKq [2,5,6] . lFqFmz c P (f ), R(f ) x Ω(f ); F x ∈ X ω- HF ω (x, f ). X Ω2 = Ω(f |Ω(f )), Ω3 = Ω(f |Ω2 (f )) x Ω4 = (f |Ω3 (f )). hCX P (f ) ⊂ R(f ) ⊂ Ω (f ) ⊂ Ω (f ) ⊂ Ω (f ) ⊂ Ω(f ). 4 3 2