TY - JOUR AU - Lee, Manseob PY - 2018 TI - R-robustly measure expansive homoclinic classes are hyperbolic JO - Journal of Mathematics and Computer Science SP - 146--153 VL - 18 IS - 2 AB - Let \(f:M\to M\) be a diffeomorphism on a closed smooth \(n(n\geq 2)\)-dimensional manifold \(M\) and let \(p\) be a hyperbolic periodic point of \(f\). We show that if the homoclinic class \(H_f(p)\) is R-robustly measure expansive then it is hyperbolic. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.018.02.02 DO - 10.22436/jmcs.018.02.02 ID - Lee2018 ER -