Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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WEAK INVERSE SHADOWING AND GENERICITY

  • Choi, Tae-Young (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Kim, Sung-Sook (DEPARTMENT OF APPLIED MATHEMATICS, PAICHAI UNIVERSITY) ;
  • Lee, Keon-Hee (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • Published : 2006.02.01
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Abstract

We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.

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References

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  2. Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity vol.49, pp.3, 2009, https://doi.org/10.5666/KMJ.2009.49.3.411
  3. Inverse Shadowing and Weak Inverse Shadowing Property vol.03, pp.05, 2012, https://doi.org/10.4236/am.2012.35072
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