Difference between revisions of "Lingering sequence"

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(Created page with "Given a metric space {{M|(X,d)}} a ''lingering sequence'' or sometimes ''hovering'' sequence is a sequence {{M|1=(x_n)_{n=1}^\infty\subseteq X}} that satisfies the fol...")
 
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Latest revision as of 16:48, 6 December 2015

Given a metric space (X,d) a lingering sequence or sometimes hovering sequence is a sequence (xn)n=1X that satisfies the following property[1]:

  • xXϵ>0[|Bϵ(x)(xn)n=1|=0]

Or in words:

  • This

Theorems

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Notes

References

  1. Jump up Alec's own work
  2. Jump up to: 2.0 2.1 Introduction to Topology - Theodore W. Gamelin & Robert Everist Greene