Nonsingular Smale Flows in the 3-sphere with One Attractor and One Repeller: under Revision
نویسنده
چکیده
The aim of this paper is to show that any two knots can be realized as an attractor and repeller pair for some nonsingular Smale flow on S with any linking number. We view this as progress, albeit limited, to the conjecture that all two component links can be realized as an attractor-repeller pair in a nonsingular Smale flow on S with just one other basic set of saddle type.
منابع مشابه
Topology Proceedings NONSINGULAR SMALE FLOWS IN THE 3-SPHERE WITH ONE ATTRACTOR AND ONE REPELLER
The aim of this paper is to show that any two knots can be realized as an attractor and repeller pair for some nonsingular Smale flow on S with any linking number. We view this as progress, albeit limited, to the conjecture that all two component links can be realized as an attractorrepeller pair in a nonsingular Smale flow on S with just one other basic set of saddle type.
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