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Yayın Category theoretical view of I-cluster and I-limit points for ideals I with the baire property(Maltepe Üniversitesi, 2019) Miller-Van Wieran, Leila; Yurdakadim, Tuğba; Tas, EmreWe study the concept of I-cluster and I-limit points of a sequence, where I is an ideal with the Baire property. We obtain the relationship between I-cluster and I-limit points of subsequences of a given sequence in the sense of category. Our main result is Theorem Suppose s is a bounded sequence, L the set of its limit points and I is an ideal with the Baire property. Then the set of its subsequences with the same set of I-cluster points as s is co-meager if and only if all elements of L are I-cluster points of s, and is meager otherwise. The analogous statement also holds if I-limit points are in place of I-cluster points.
