In this paper we prove that if a semigroup is almost open then it is sensitive or there exists a residual set of points of equicontinuity. As a consequence we obtain a sufficient condition for sensitivity that generalizes that given in Kontorovich and Megrelishvili (Semigroup Forum 76:133–141, 2008).
机构:
Univ La Republ, Fac Ingn, IMERL, Julio Herrera & Reissig 565, Montevideo 11300, UruguayUniv La Republ, Fac Ingn, IMERL, Julio Herrera & Reissig 565, Montevideo 11300, Uruguay
Iglesias, Jorge
Portela, Aldo
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机构:
Univ La Republ, Fac Ingn, IMERL, Julio Herrera & Reissig 565, Montevideo 11300, UruguayUniv La Republ, Fac Ingn, IMERL, Julio Herrera & Reissig 565, Montevideo 11300, Uruguay