THE C1 CLOSING LEMMA FOR NONSINGULAR ENDOMORPHISMS

被引：21

作者：

WEN, L ^{[1
]}

机构：

[1] BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1991年 / 11卷

关键词：

D O I：

10.1017/S0143385700006210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A slightly improved version of the (idealized) C1 closing lemma is proved. This turns out to generalize the C1 closing lemma from diffeomorphisms to non-singular endomorphisms.

引用

页码：393 / 412

页数：20

共 10 条

[1] NECESSARY CONDITIONS FOR STABILITY OF DIFFEOMORPHISMS [J].

FRANKS, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 158 (02) :301-&

[2]

LIAO ST, 1979, ACTA SCI NAT U PEKIN, V3, P1

[3]

MAI JH, 1989, CHINESE SCI BULL, V3, P180

[4]

MAI JH, 1986, SCI SINICA SER A, V29, P1021

[5]

Pugh C. C., 1983, ERGOD THEOR DYN SYST, V3, P261, DOI [DOI 10.1017/S0143385700001978, 10.1017/S0143385700001978]

[6] AN IMPROVED CLOSING LEMMA AND A GENERAL DENSITY THEOREM [J].

PUGH, CC .

AMERICAN JOURNAL OF MATHEMATICS, 1967, 89 (04) :1010-&

[7]

PUGH CC, 1967, AM J MATH, V89, P956, DOI 10.2307/2373413

[8]

ROBINSON C, 1978, SPRINGER LECT NOTES, V668, P223

[9]

WEN L, C1 CLOSING LEMMA 2 D

[10]

WEN L, IN PRESS P AM MATH S

← 1 →