• Ethan Akin
Part of the The University Series in Mathematics book series (USMA)


If f : XX is a continuous map and xX, we say that y is a limit point for the associated dynamical system with initial value x, or y is an ω limit point of x, when y is a limit point of the orbit sequence {f n (x) : nT} where T is the set of nonnegative integers. This means that the sequence enters every neighborhood of y infinitely often. That is, for any open set U containing y, the entrance time set N(x,U) = {nT : f n (x) ∈ U} is infinite.


Limit Point Compact Space Uniform Space Semi Group Minimal Subset 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Ethan Akin
    • 1
  1. 1.The City CollegeNew YorkUSA

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